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Finding the Fourth Proportional to 473,637.14, 653,595.46 and 258,737.66

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Solution

The fourth proportional to 473,637.14, 653,595.46 and 258,737.66 is: 357,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,637.14 : 653,595.46 = 258,737.66 : x
  2. Step 2: Convert to fraction form
    473,637.14/653,595.46 = 258,737.66/x
  3. Step 3: Cross multiply
    473,637.14x = 653,595.46 × 258,737.66
  4. Step 4: Simplify right side
    473,637.14x = 169,109,756,639.05
  5. Step 5: Solve for x
    x = 169,109,756,639.05/473,637.14
  6. Step 6: Final answer
    x = 357,044.97

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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.