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Finding the Fourth Proportional to 514,822.62, 710,034 and 362,365.50

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Solution

The fourth proportional to 514,822.62, 710,034 and 362,365.50 is: 499,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,822.62 : 710,034 = 362,365.50 : x
  2. Step 2: Convert to fraction form
    514,822.62/710,034 = 362,365.50/x
  3. Step 3: Cross multiply
    514,822.62x = 710,034 × 362,365.50
  4. Step 4: Simplify right side
    514,822.62x = 257,291,825,427
  5. Step 5: Solve for x
    x = 257,291,825,427/514,822.62
  6. Step 6: Final answer
    x = 499,767.91

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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.