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Finding the Fourth Proportional to 473,666.56, 653,640.42 and 258,814

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Solution

The fourth proportional to 473,666.56, 653,640.42 and 258,814 is: 357,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,666.56 : 653,640.42 = 258,814 : x
  2. Step 2: Convert to fraction form
    473,666.56/653,640.42 = 258,814/x
  3. Step 3: Cross multiply
    473,666.56x = 653,640.42 × 258,814
  4. Step 4: Simplify right side
    473,666.56x = 169,171,291,661.88
  5. Step 5: Solve for x
    x = 169,171,291,661.88/473,666.56
  6. Step 6: Final answer
    x = 357,152.70

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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.