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Finding the Fourth Proportional to 484,862.31, 727,407.95 and 152,438.31

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Solution

The fourth proportional to 484,862.31, 727,407.95 and 152,438.31 is: 228,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,862.31 : 727,407.95 = 152,438.31 : x
  2. Step 2: Convert to fraction form
    484,862.31/727,407.95 = 152,438.31/x
  3. Step 3: Cross multiply
    484,862.31x = 727,407.95 × 152,438.31
  4. Step 4: Simplify right side
    484,862.31x = 110,884,837,816.37
  5. Step 5: Solve for x
    x = 110,884,837,816.37/484,862.31
  6. Step 6: Final answer
    x = 228,693.46

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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.