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Finding the Fourth Proportional to 532,088.89, 734,298.14 and 290,387.01

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Solution

The fourth proportional to 532,088.89, 734,298.14 and 290,387.01 is: 400,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,088.89 : 734,298.14 = 290,387.01 : x
  2. Step 2: Convert to fraction form
    532,088.89/734,298.14 = 290,387.01/x
  3. Step 3: Cross multiply
    532,088.89x = 734,298.14 × 290,387.01
  4. Step 4: Simplify right side
    532,088.89x = 213,230,641,323.16
  5. Step 5: Solve for x
    x = 213,230,641,323.16/532,088.89
  6. Step 6: Final answer
    x = 400,742.52

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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.