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Finding the Fourth Proportional to 284,403.60, 392,461.20 and 176,970.24

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Solution

The fourth proportional to 284,403.60, 392,461.20 and 176,970.24 is: 244,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,403.60 : 392,461.20 = 176,970.24 : x
  2. Step 2: Convert to fraction form
    284,403.60/392,461.20 = 176,970.24/x
  3. Step 3: Cross multiply
    284,403.60x = 392,461.20 × 176,970.24
  4. Step 4: Simplify right side
    284,403.60x = 69,453,952,754.69
  5. Step 5: Solve for x
    x = 69,453,952,754.69/284,403.60
  6. Step 6: Final answer
    x = 244,209.12

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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.