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Finding the Fourth Proportional to 510,572.04, 704,595.12 and 284,217.48

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Solution

The fourth proportional to 510,572.04, 704,595.12 and 284,217.48 is: 392,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,572.04 : 704,595.12 = 284,217.48 : x
  2. Step 2: Convert to fraction form
    510,572.04/704,595.12 = 284,217.48/x
  3. Step 3: Cross multiply
    510,572.04x = 704,595.12 × 284,217.48
  4. Step 4: Simplify right side
    510,572.04x = 200,258,249,426.70
  5. Step 5: Solve for x
    x = 200,258,249,426.70/510,572.04
  6. Step 6: Final answer
    x = 392,223.30

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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.