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Finding the Fourth Proportional to 532,206.48, 734,438.91 and 302,758.38

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Solution

The fourth proportional to 532,206.48, 734,438.91 and 302,758.38 is: 417,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,206.48 : 734,438.91 = 302,758.38 : x
  2. Step 2: Convert to fraction form
    532,206.48/734,438.91 = 302,758.38/x
  3. Step 3: Cross multiply
    532,206.48x = 734,438.91 × 302,758.38
  4. Step 4: Simplify right side
    532,206.48x = 222,357,534,600.57
  5. Step 5: Solve for x
    x = 222,357,534,600.57/532,206.48
  6. Step 6: Final answer
    x = 417,803.13

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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.