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Finding the Fourth Proportional to 585,124.70, 820,280.50 and 585,124.70

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Solution

The fourth proportional to 585,124.70, 820,280.50 and 585,124.70 is: 820,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,124.70 : 820,280.50 = 585,124.70 : x
  2. Step 2: Convert to fraction form
    585,124.70/820,280.50 = 585,124.70/x
  3. Step 3: Cross multiply
    585,124.70x = 820,280.50 × 585,124.70
  4. Step 4: Simplify right side
    585,124.70x = 479,966,381,478.35
  5. Step 5: Solve for x
    x = 479,966,381,478.35/585,124.70
  6. Step 6: Final answer
    x = 820,280.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.