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Finding the Fourth Proportional to 532,130.20, 734,356.81 and 302,681.60

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Solution

The fourth proportional to 532,130.20, 734,356.81 and 302,681.60 is: 417,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,130.20 : 734,356.81 = 302,681.60 : x
  2. Step 2: Convert to fraction form
    532,130.20/734,356.81 = 302,681.60/x
  3. Step 3: Cross multiply
    532,130.20x = 734,356.81 × 302,681.60
  4. Step 4: Simplify right side
    532,130.20x = 222,276,292,708.29
  5. Step 5: Solve for x
    x = 222,276,292,708.29/532,130.20
  6. Step 6: Final answer
    x = 417,710.36

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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.