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Finding the Fourth Proportional to 284,148.24, 392,109.24 and 176,715.24

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Solution

The fourth proportional to 284,148.24, 392,109.24 and 176,715.24 is: 243,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,148.24 : 392,109.24 = 176,715.24 : x
  2. Step 2: Convert to fraction form
    284,148.24/392,109.24 = 176,715.24/x
  3. Step 3: Cross multiply
    284,148.24x = 392,109.24 × 176,715.24
  4. Step 4: Simplify right side
    284,148.24x = 69,291,678,452.82
  5. Step 5: Solve for x
    x = 69,291,678,452.82/284,148.24
  6. Step 6: Final answer
    x = 243,857.50

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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.