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Finding the Fourth Proportional to 462,032.40, 692,530.20 and 262,448.40

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Solution

The fourth proportional to 462,032.40, 692,530.20 and 262,448.40 is: 393,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,032.40 : 692,530.20 = 262,448.40 : x
  2. Step 2: Convert to fraction form
    462,032.40/692,530.20 = 262,448.40/x
  3. Step 3: Cross multiply
    462,032.40x = 692,530.20 × 262,448.40
  4. Step 4: Simplify right side
    462,032.40x = 181,753,442,941.68
  5. Step 5: Solve for x
    x = 181,753,442,941.68/462,032.40
  6. Step 6: Final answer
    x = 393,378.13

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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.