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Finding the Fourth Proportional to 564,014.96, 846,743.72 and 484,561.24

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Solution

The fourth proportional to 564,014.96, 846,743.72 and 484,561.24 is: 727,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,014.96 : 846,743.72 = 484,561.24 : x
  2. Step 2: Convert to fraction form
    564,014.96/846,743.72 = 484,561.24/x
  3. Step 3: Cross multiply
    564,014.96x = 846,743.72 × 484,561.24
  4. Step 4: Simplify right side
    564,014.96x = 410,299,186,925.41
  5. Step 5: Solve for x
    x = 410,299,186,925.41/564,014.96
  6. Step 6: Final answer
    x = 727,461.53

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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.