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Finding the Fourth Proportional to 506,715.74, 760,073.60 and 411,831.38

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Solution

The fourth proportional to 506,715.74, 760,073.60 and 411,831.38 is: 617,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,715.74 : 760,073.60 = 411,831.38 : x
  2. Step 2: Convert to fraction form
    506,715.74/760,073.60 = 411,831.38/x
  3. Step 3: Cross multiply
    506,715.74x = 760,073.60 × 411,831.38
  4. Step 4: Simplify right side
    506,715.74x = 313,022,153,730.04
  5. Step 5: Solve for x
    x = 313,022,153,730.04/506,715.74
  6. Step 6: Final answer
    x = 617,747.06

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Similar ratio
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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.