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Finding the Fourth Proportional to 473,674.18, 653,674.96 and 258,814.24

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Solution

The fourth proportional to 473,674.18, 653,674.96 and 258,814.24 is: 357,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,674.18 : 653,674.96 = 258,814.24 : x
  2. Step 2: Convert to fraction form
    473,674.18/653,674.96 = 258,814.24/x
  3. Step 3: Cross multiply
    473,674.18x = 653,674.96 × 258,814.24
  4. Step 4: Simplify right side
    473,674.18x = 169,180,387,979.43
  5. Step 5: Solve for x
    x = 169,180,387,979.43/473,674.18
  6. Step 6: Final answer
    x = 357,166.16

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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.