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Finding the Fourth Proportional to 522,041.70, 781,312.95 and 459,056.10

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Solution

The fourth proportional to 522,041.70, 781,312.95 and 459,056.10 is: 687,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,041.70 : 781,312.95 = 459,056.10 : x
  2. Step 2: Convert to fraction form
    522,041.70/781,312.95 = 459,056.10/x
  3. Step 3: Cross multiply
    522,041.70x = 781,312.95 × 459,056.10
  4. Step 4: Simplify right side
    522,041.70x = 358,666,475,706.50
  5. Step 5: Solve for x
    x = 358,666,475,706.50/522,041.70
  6. Step 6: Final answer
    x = 687,045.64

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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.