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Finding the Fourth Proportional to 284,527.47, 392,663.66 and 157,200.33

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Solution

The fourth proportional to 284,527.47, 392,663.66 and 157,200.33 is: 216,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,527.47 : 392,663.66 = 157,200.33 : x
  2. Step 2: Convert to fraction form
    284,527.47/392,663.66 = 157,200.33/x
  3. Step 3: Cross multiply
    284,527.47x = 392,663.66 × 157,200.33
  4. Step 4: Simplify right side
    284,527.47x = 61,726,856,145.01
  5. Step 5: Solve for x
    x = 61,726,856,145.01/284,527.47
  6. Step 6: Final answer
    x = 216,945.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.