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Finding the Fourth Proportional to 406,951.90, 610,427.85 and 340,467.10

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Solution

The fourth proportional to 406,951.90, 610,427.85 and 340,467.10 is: 510,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,951.90 : 610,427.85 = 340,467.10 : x
  2. Step 2: Convert to fraction form
    406,951.90/610,427.85 = 340,467.10/x
  3. Step 3: Cross multiply
    406,951.90x = 610,427.85 × 340,467.10
  4. Step 4: Simplify right side
    406,951.90x = 207,830,599,848.74
  5. Step 5: Solve for x
    x = 207,830,599,848.74/406,951.90
  6. Step 6: Final answer
    x = 510,700.65

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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.