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Finding the Fourth Proportional to 532,053.76, 734,228.14 and 290,340.45

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Solution

The fourth proportional to 532,053.76, 734,228.14 and 290,340.45 is: 400,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,053.76 : 734,228.14 = 290,340.45 : x
  2. Step 2: Convert to fraction form
    532,053.76/734,228.14 = 290,340.45/x
  3. Step 3: Cross multiply
    532,053.76x = 734,228.14 × 290,340.45
  4. Step 4: Simplify right side
    532,053.76x = 213,176,123,447.42
  5. Step 5: Solve for x
    x = 213,176,123,447.42/532,053.76
  6. Step 6: Final answer
    x = 400,666.51

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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.