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Finding the Fourth Proportional to 586,428.80, 879,643.20 and 523,443.20

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Solution

The fourth proportional to 586,428.80, 879,643.20 and 523,443.20 is: 785,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,428.80 : 879,643.20 = 523,443.20 : x
  2. Step 2: Convert to fraction form
    586,428.80/879,643.20 = 523,443.20/x
  3. Step 3: Cross multiply
    586,428.80x = 879,643.20 × 523,443.20
  4. Step 4: Simplify right side
    586,428.80x = 460,443,251,466.24
  5. Step 5: Solve for x
    x = 460,443,251,466.24/586,428.80
  6. Step 6: Final answer
    x = 785,164.80

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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.