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Finding the Fourth Proportional to 473,897.52, 653,996.16 and 259,052.16

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Solution

The fourth proportional to 473,897.52, 653,996.16 and 259,052.16 is: 357,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,897.52 : 653,996.16 = 259,052.16 : x
  2. Step 2: Convert to fraction form
    473,897.52/653,996.16 = 259,052.16/x
  3. Step 3: Cross multiply
    473,897.52x = 653,996.16 × 259,052.16
  4. Step 4: Simplify right side
    473,897.52x = 169,419,117,879.71
  5. Step 5: Solve for x
    x = 169,419,117,879.71/473,897.52
  6. Step 6: Final answer
    x = 357,501.59

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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.