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Finding the Fourth Proportional to 586,297.80, 879,446.70 and 523,312.20

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Solution

The fourth proportional to 586,297.80, 879,446.70 and 523,312.20 is: 784,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,297.80 : 879,446.70 = 523,312.20 : x
  2. Step 2: Convert to fraction form
    586,297.80/879,446.70 = 523,312.20/x
  3. Step 3: Cross multiply
    586,297.80x = 879,446.70 × 523,312.20
  4. Step 4: Simplify right side
    586,297.80x = 460,225,187,359.74
  5. Step 5: Solve for x
    x = 460,225,187,359.74/586,297.80
  6. Step 6: Final answer
    x = 784,968.30

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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.