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Finding the Fourth Proportional to 616,005.80, 924,008.70 and 416,940.20

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Solution

The fourth proportional to 616,005.80, 924,008.70 and 416,940.20 is: 625,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,005.80 : 924,008.70 = 416,940.20 : x
  2. Step 2: Convert to fraction form
    616,005.80/924,008.70 = 416,940.20/x
  3. Step 3: Cross multiply
    616,005.80x = 924,008.70 × 416,940.20
  4. Step 4: Simplify right side
    616,005.80x = 385,256,372,179.74
  5. Step 5: Solve for x
    x = 385,256,372,179.74/616,005.80
  6. Step 6: Final answer
    x = 625,410.30

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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.