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Finding the Fourth Proportional to 532,124.06, 734,333.40 and 290,411.74

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Solution

The fourth proportional to 532,124.06, 734,333.40 and 290,411.74 is: 400,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,124.06 : 734,333.40 = 290,411.74 : x
  2. Step 2: Convert to fraction form
    532,124.06/734,333.40 = 290,411.74/x
  3. Step 3: Cross multiply
    532,124.06x = 734,333.40 × 290,411.74
  4. Step 4: Simplify right side
    532,124.06x = 213,259,040,434.12
  5. Step 5: Solve for x
    x = 213,259,040,434.12/532,124.06
  6. Step 6: Final answer
    x = 400,769.40

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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.