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Finding the Fourth Proportional to 506,470.16, 759,713.88 and 417,374.48

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Solution

The fourth proportional to 506,470.16, 759,713.88 and 417,374.48 is: 626,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,470.16 : 759,713.88 = 417,374.48 : x
  2. Step 2: Convert to fraction form
    506,470.16/759,713.88 = 417,374.48/x
  3. Step 3: Cross multiply
    506,470.16x = 759,713.88 × 417,374.48
  4. Step 4: Simplify right side
    506,470.16x = 317,085,185,613.78
  5. Step 5: Solve for x
    x = 317,085,185,613.78/506,470.16
  6. Step 6: Final answer
    x = 626,068.84

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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.