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Finding the Fourth Proportional to 585,046.40, 820,931.20 and 585,046.40

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Solution

The fourth proportional to 585,046.40, 820,931.20 and 585,046.40 is: 820,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,046.40 : 820,931.20 = 585,046.40 : x
  2. Step 2: Convert to fraction form
    585,046.40/820,931.20 = 585,046.40/x
  3. Step 3: Cross multiply
    585,046.40x = 820,931.20 × 585,046.40
  4. Step 4: Simplify right side
    585,046.40x = 480,282,843,207.68
  5. Step 5: Solve for x
    x = 480,282,843,207.68/585,046.40
  6. Step 6: Final answer
    x = 820,931.20

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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.