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Finding the Fourth Proportional to 507,501.17, 700,318.77 and 278,058.14

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Solution

The fourth proportional to 507,501.17, 700,318.77 and 278,058.14 is: 383,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,501.17 : 700,318.77 = 278,058.14 : x
  2. Step 2: Convert to fraction form
    507,501.17/700,318.77 = 278,058.14/x
  3. Step 3: Cross multiply
    507,501.17x = 700,318.77 × 278,058.14
  4. Step 4: Simplify right side
    507,501.17x = 194,729,334,593.29
  5. Step 5: Solve for x
    x = 194,729,334,593.29/507,501.17
  6. Step 6: Final answer
    x = 383,702.24

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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.