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Finding the Fourth Proportional to 657,714.12, 986,875.68 and 357,837.48

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Solution

The fourth proportional to 657,714.12, 986,875.68 and 357,837.48 is: 536,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,714.12 : 986,875.68 = 357,837.48 : x
  2. Step 2: Convert to fraction form
    657,714.12/986,875.68 = 357,837.48/x
  3. Step 3: Cross multiply
    657,714.12x = 986,875.68 × 357,837.48
  4. Step 4: Simplify right side
    657,714.12x = 353,141,106,404.49
  5. Step 5: Solve for x
    x = 353,141,106,404.49/657,714.12
  6. Step 6: Final answer
    x = 536,921.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.