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Finding the Fourth Proportional to 614,233.56, 847,643.13 and 342,295.50

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Solution

The fourth proportional to 614,233.56, 847,643.13 and 342,295.50 is: 472,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,233.56 : 847,643.13 = 342,295.50 : x
  2. Step 2: Convert to fraction form
    614,233.56/847,643.13 = 342,295.50/x
  3. Step 3: Cross multiply
    614,233.56x = 847,643.13 × 342,295.50
  4. Step 4: Simplify right side
    614,233.56x = 290,144,429,004.92
  5. Step 5: Solve for x
    x = 290,144,429,004.92/614,233.56
  6. Step 6: Final answer
    x = 472,368.25

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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.