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Finding the Fourth Proportional to 473,833.13, 653,888.50 and 258,974.65

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Solution

The fourth proportional to 473,833.13, 653,888.50 and 258,974.65 is: 357,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,833.13 : 653,888.50 = 258,974.65 : x
  2. Step 2: Convert to fraction form
    473,833.13/653,888.50 = 258,974.65/x
  3. Step 3: Cross multiply
    473,833.13x = 653,888.50 × 258,974.65
  4. Step 4: Simplify right side
    473,833.13x = 169,340,545,596.45
  5. Step 5: Solve for x
    x = 169,340,545,596.45/473,833.13
  6. Step 6: Final answer
    x = 357,384.35

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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.