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Finding the Fourth Proportional to 532,095.74, 734,291.92 and 290,378.31

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Solution

The fourth proportional to 532,095.74, 734,291.92 and 290,378.31 is: 400,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,095.74 : 734,291.92 = 290,378.31 : x
  2. Step 2: Convert to fraction form
    532,095.74/734,291.92 = 290,378.31/x
  3. Step 3: Cross multiply
    532,095.74x = 734,291.92 × 290,378.31
  4. Step 4: Simplify right side
    532,095.74x = 213,222,445,303.50
  5. Step 5: Solve for x
    x = 213,222,445,303.50/532,095.74
  6. Step 6: Final answer
    x = 400,721.96

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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.