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Finding the Fourth Proportional to 462,302.24, 637,989.72 and 261,098.24

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Solution

The fourth proportional to 462,302.24, 637,989.72 and 261,098.24 is: 360,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,302.24 : 637,989.72 = 261,098.24 : x
  2. Step 2: Convert to fraction form
    462,302.24/637,989.72 = 261,098.24/x
  3. Step 3: Cross multiply
    462,302.24x = 637,989.72 × 261,098.24
  4. Step 4: Simplify right side
    462,302.24x = 166,577,993,030.09
  5. Step 5: Solve for x
    x = 166,577,993,030.09/462,302.24
  6. Step 6: Final answer
    x = 360,322.70

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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.