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Finding the Fourth Proportional to 284,328.66, 392,366.04 and 157,001.52

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Solution

The fourth proportional to 284,328.66, 392,366.04 and 157,001.52 is: 216,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,328.66 : 392,366.04 = 157,001.52 : x
  2. Step 2: Convert to fraction form
    284,328.66/392,366.04 = 157,001.52/x
  3. Step 3: Cross multiply
    284,328.66x = 392,366.04 × 157,001.52
  4. Step 4: Simplify right side
    284,328.66x = 61,602,064,676.38
  5. Step 5: Solve for x
    x = 61,602,064,676.38/284,328.66
  6. Step 6: Final answer
    x = 216,657.95

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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.