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Finding the Fourth Proportional to 473,281.48, 653,125.17 and 258,421.42

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Solution

The fourth proportional to 473,281.48, 653,125.17 and 258,421.42 is: 356,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,281.48 : 653,125.17 = 258,421.42 : x
  2. Step 2: Convert to fraction form
    473,281.48/653,125.17 = 258,421.42/x
  3. Step 3: Cross multiply
    473,281.48x = 653,125.17 × 258,421.42
  4. Step 4: Simplify right side
    473,281.48x = 168,781,533,869.14
  5. Step 5: Solve for x
    x = 168,781,533,869.14/473,281.48
  6. Step 6: Final answer
    x = 356,619.77

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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.