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Finding the Fourth Proportional to 519,300.36, 774,587.45 and 471,463.38

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Solution

The fourth proportional to 519,300.36, 774,587.45 and 471,463.38 is: 703,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,300.36 : 774,587.45 = 471,463.38 : x
  2. Step 2: Convert to fraction form
    519,300.36/774,587.45 = 471,463.38/x
  3. Step 3: Cross multiply
    519,300.36x = 774,587.45 × 471,463.38
  4. Step 4: Simplify right side
    519,300.36x = 365,189,614,925.26
  5. Step 5: Solve for x
    x = 365,189,614,925.26/519,300.36
  6. Step 6: Final answer
    x = 703,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.