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Finding the Fourth Proportional to 719,876.88, 993,389.19 and 413,904.65

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Solution

The fourth proportional to 719,876.88, 993,389.19 and 413,904.65 is: 571,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,876.88 : 993,389.19 = 413,904.65 : x
  2. Step 2: Convert to fraction form
    719,876.88/993,389.19 = 413,904.65/x
  3. Step 3: Cross multiply
    719,876.88x = 993,389.19 × 413,904.65
  4. Step 4: Simplify right side
    719,876.88x = 411,168,400,033.79
  5. Step 5: Solve for x
    x = 411,168,400,033.79/719,876.88
  6. Step 6: Final answer
    x = 571,164.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.