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Finding the Fourth Proportional to 532,084.42, 798,175.80 and 212,159.08

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Solution

The fourth proportional to 532,084.42, 798,175.80 and 212,159.08 is: 318,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,084.42 : 798,175.80 = 212,159.08 : x
  2. Step 2: Convert to fraction form
    532,084.42/798,175.80 = 212,159.08/x
  3. Step 3: Cross multiply
    532,084.42x = 798,175.80 × 212,159.08
  4. Step 4: Simplify right side
    532,084.42x = 169,340,243,406.26
  5. Step 5: Solve for x
    x = 169,340,243,406.26/532,084.42
  6. Step 6: Final answer
    x = 318,258.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.