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Finding the Fourth Proportional to 596,734.01, 894,389.02 and 415,839.55

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Solution

The fourth proportional to 596,734.01, 894,389.02 and 415,839.55 is: 623,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,734.01 : 894,389.02 = 415,839.55 : x
  2. Step 2: Convert to fraction form
    596,734.01/894,389.02 = 415,839.55/x
  3. Step 3: Cross multiply
    596,734.01x = 894,389.02 × 415,839.55
  4. Step 4: Simplify right side
    596,734.01x = 371,922,324,326.17
  5. Step 5: Solve for x
    x = 371,922,324,326.17/596,734.01
  6. Step 6: Final answer
    x = 623,263.16

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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.