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Finding the Fourth Proportional to 648,064.80, 972,097.20 and 410,702.40

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Solution

The fourth proportional to 648,064.80, 972,097.20 and 410,702.40 is: 616,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,064.80 : 972,097.20 = 410,702.40 : x
  2. Step 2: Convert to fraction form
    648,064.80/972,097.20 = 410,702.40/x
  3. Step 3: Cross multiply
    648,064.80x = 972,097.20 × 410,702.40
  4. Step 4: Simplify right side
    648,064.80x = 399,242,653,073.28
  5. Step 5: Solve for x
    x = 399,242,653,073.28/648,064.80
  6. Step 6: Final answer
    x = 616,053.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.