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Finding the Fourth Proportional to 532,095.12, 734,284.98 and 290,381.81

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Solution

The fourth proportional to 532,095.12, 734,284.98 and 290,381.81 is: 400,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,095.12 : 734,284.98 = 290,381.81 : x
  2. Step 2: Convert to fraction form
    532,095.12/734,284.98 = 290,381.81/x
  3. Step 3: Cross multiply
    532,095.12x = 734,284.98 × 290,381.81
  4. Step 4: Simplify right side
    532,095.12x = 213,222,997,876.79
  5. Step 5: Solve for x
    x = 213,222,997,876.79/532,095.12
  6. Step 6: Final answer
    x = 400,723.46

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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.