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Finding the Fourth Proportional to 771,230.40, 1,156,672.80 and 506,846.40

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Solution

The fourth proportional to 771,230.40, 1,156,672.80 and 506,846.40 is: 760,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,230.40 : 1,156,672.80 = 506,846.40 : x
  2. Step 2: Convert to fraction form
    771,230.40/1,156,672.80 = 506,846.40/x
  3. Step 3: Cross multiply
    771,230.40x = 1,156,672.80 × 506,846.40
  4. Step 4: Simplify right side
    771,230.40x = 586,255,444,657.92
  5. Step 5: Solve for x
    x = 586,255,444,657.92/771,230.40
  6. Step 6: Final answer
    x = 760,156.04

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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.