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Finding the Fourth Proportional to 415,046.30, 623,152.65 and 257,582.30

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Solution

The fourth proportional to 415,046.30, 623,152.65 and 257,582.30 is: 386,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,046.30 : 623,152.65 = 257,582.30 : x
  2. Step 2: Convert to fraction form
    415,046.30/623,152.65 = 257,582.30/x
  3. Step 3: Cross multiply
    415,046.30x = 623,152.65 × 257,582.30
  4. Step 4: Simplify right side
    415,046.30x = 160,513,092,838.10
  5. Step 5: Solve for x
    x = 160,513,092,838.10/415,046.30
  6. Step 6: Final answer
    x = 386,735.39

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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.