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Finding the Fourth Proportional to 523,326.40, 785,864.40 and 346,616.80

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Solution

The fourth proportional to 523,326.40, 785,864.40 and 346,616.80 is: 520,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,326.40 : 785,864.40 = 346,616.80 : x
  2. Step 2: Convert to fraction form
    523,326.40/785,864.40 = 346,616.80/x
  3. Step 3: Cross multiply
    523,326.40x = 785,864.40 × 346,616.80
  4. Step 4: Simplify right side
    523,326.40x = 272,393,803,561.92
  5. Step 5: Solve for x
    x = 272,393,803,561.92/523,326.40
  6. Step 6: Final answer
    x = 520,504.61

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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.