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Finding the Fourth Proportional to 282,947.10, 390,465.12 and 160,462.64

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Solution

The fourth proportional to 282,947.10, 390,465.12 and 160,462.64 is: 221,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,947.10 : 390,465.12 = 160,462.64 : x
  2. Step 2: Convert to fraction form
    282,947.10/390,465.12 = 160,462.64/x
  3. Step 3: Cross multiply
    282,947.10x = 390,465.12 × 160,462.64
  4. Step 4: Simplify right side
    282,947.10x = 62,655,063,180.80
  5. Step 5: Solve for x
    x = 62,655,063,180.80/282,947.10
  6. Step 6: Final answer
    x = 221,437.38

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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.