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Finding the Fourth Proportional to 469,095.84, 698,424.12 and 462,470.40

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Solution

The fourth proportional to 469,095.84, 698,424.12 and 462,470.40 is: 688,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,095.84 : 698,424.12 = 462,470.40 : x
  2. Step 2: Convert to fraction form
    469,095.84/698,424.12 = 462,470.40/x
  3. Step 3: Cross multiply
    469,095.84x = 698,424.12 × 462,470.40
  4. Step 4: Simplify right side
    469,095.84x = 323,000,482,146.05
  5. Step 5: Solve for x
    x = 323,000,482,146.05/469,095.84
  6. Step 6: Final answer
    x = 688,559.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.