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Finding the Fourth Proportional to 310,175.64, 465,439.14 and 132,666.84

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Solution

The fourth proportional to 310,175.64, 465,439.14 and 132,666.84 is: 199,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,175.64 : 465,439.14 = 132,666.84 : x
  2. Step 2: Convert to fraction form
    310,175.64/465,439.14 = 132,666.84/x
  3. Step 3: Cross multiply
    310,175.64x = 465,439.14 × 132,666.84
  4. Step 4: Simplify right side
    310,175.64x = 61,748,339,916.12
  5. Step 5: Solve for x
    x = 61,748,339,916.12/310,175.64
  6. Step 6: Final answer
    x = 199,075.40

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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.