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Finding the Fourth Proportional to 592,057, 817,058.10 and 323,785

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Solution

The fourth proportional to 592,057, 817,058.10 and 323,785 is: 446,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,057 : 817,058.10 = 323,785 : x
  2. Step 2: Convert to fraction form
    592,057/817,058.10 = 323,785/x
  3. Step 3: Cross multiply
    592,057x = 817,058.10 × 323,785
  4. Step 4: Simplify right side
    592,057x = 264,551,156,908.50
  5. Step 5: Solve for x
    x = 264,551,156,908.50/592,057
  6. Step 6: Final answer
    x = 446,833.93

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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.