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Finding the Fourth Proportional to 434,411.60, 651,617.40 and 402,918.80

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Solution

The fourth proportional to 434,411.60, 651,617.40 and 402,918.80 is: 604,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,411.60 : 651,617.40 = 402,918.80 : x
  2. Step 2: Convert to fraction form
    434,411.60/651,617.40 = 402,918.80/x
  3. Step 3: Cross multiply
    434,411.60x = 651,617.40 × 402,918.80
  4. Step 4: Simplify right side
    434,411.60x = 262,548,900,867.12
  5. Step 5: Solve for x
    x = 262,548,900,867.12/434,411.60
  6. Step 6: Final answer
    x = 604,378.20

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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.