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Finding the Fourth Proportional to 473,586.84, 653,562.68 and 282,711

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Solution

The fourth proportional to 473,586.84, 653,562.68 and 282,711 is: 390,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,586.84 : 653,562.68 = 282,711 : x
  2. Step 2: Convert to fraction form
    473,586.84/653,562.68 = 282,711/x
  3. Step 3: Cross multiply
    473,586.84x = 653,562.68 × 282,711
  4. Step 4: Simplify right side
    473,586.84x = 184,769,358,825.48
  5. Step 5: Solve for x
    x = 184,769,358,825.48/473,586.84
  6. Step 6: Final answer
    x = 390,148.85

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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.