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Finding the Fourth Proportional to 586,265.40, 822,637.80 and 586,265.40

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Solution

The fourth proportional to 586,265.40, 822,637.80 and 586,265.40 is: 822,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,265.40 : 822,637.80 = 586,265.40 : x
  2. Step 2: Convert to fraction form
    586,265.40/822,637.80 = 586,265.40/x
  3. Step 3: Cross multiply
    586,265.40x = 822,637.80 × 586,265.40
  4. Step 4: Simplify right side
    586,265.40x = 482,284,078,872.12
  5. Step 5: Solve for x
    x = 482,284,078,872.12/586,265.40
  6. Step 6: Final answer
    x = 822,637.80

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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.