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Finding the Fourth Proportional to 508,789.32, 702,094.14 and 282,417

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Solution

The fourth proportional to 508,789.32, 702,094.14 and 282,417 is: 389,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,789.32 : 702,094.14 = 282,417 : x
  2. Step 2: Convert to fraction form
    508,789.32/702,094.14 = 282,417/x
  3. Step 3: Cross multiply
    508,789.32x = 702,094.14 × 282,417
  4. Step 4: Simplify right side
    508,789.32x = 198,283,320,736.38
  5. Step 5: Solve for x
    x = 198,283,320,736.38/508,789.32
  6. Step 6: Final answer
    x = 389,715.96

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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.