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Finding the Fourth Proportional to 532,109.68, 734,406 and 317,263.36

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Solution

The fourth proportional to 532,109.68, 734,406 and 317,263.36 is: 437,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,109.68 : 734,406 = 317,263.36 : x
  2. Step 2: Convert to fraction form
    532,109.68/734,406 = 317,263.36/x
  3. Step 3: Cross multiply
    532,109.68x = 734,406 × 317,263.36
  4. Step 4: Simplify right side
    532,109.68x = 233,000,115,164.16
  5. Step 5: Solve for x
    x = 233,000,115,164.16/532,109.68
  6. Step 6: Final answer
    x = 437,879.87

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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.