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Finding the Fourth Proportional to 602,576.40, 903,869.76 and 153,297.76

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Solution

The fourth proportional to 602,576.40, 903,869.76 and 153,297.76 is: 229,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,576.40 : 903,869.76 = 153,297.76 : x
  2. Step 2: Convert to fraction form
    602,576.40/903,869.76 = 153,297.76/x
  3. Step 3: Cross multiply
    602,576.40x = 903,869.76 × 153,297.76
  4. Step 4: Simplify right side
    602,576.40x = 138,561,209,539.74
  5. Step 5: Solve for x
    x = 138,561,209,539.74/602,576.40
  6. Step 6: Final answer
    x = 229,947.95

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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.