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Finding the Fourth Proportional to 537,298.53, 805,947.60 and 158,219.31

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Solution

The fourth proportional to 537,298.53, 805,947.60 and 158,219.31 is: 237,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,298.53 : 805,947.60 = 158,219.31 : x
  2. Step 2: Convert to fraction form
    537,298.53/805,947.60 = 158,219.31/x
  3. Step 3: Cross multiply
    537,298.53x = 805,947.60 × 158,219.31
  4. Step 4: Simplify right side
    537,298.53x = 127,516,473,168.16
  5. Step 5: Solve for x
    x = 127,516,473,168.16/537,298.53
  6. Step 6: Final answer
    x = 237,328.91

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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.