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Finding the Fourth Proportional to 475,262.16, 712,742.52 and 155,341.68

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Solution

The fourth proportional to 475,262.16, 712,742.52 and 155,341.68 is: 232,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,262.16 : 712,742.52 = 155,341.68 : x
  2. Step 2: Convert to fraction form
    475,262.16/712,742.52 = 155,341.68/x
  3. Step 3: Cross multiply
    475,262.16x = 712,742.52 × 155,341.68
  4. Step 4: Simplify right side
    475,262.16x = 110,718,620,464.23
  5. Step 5: Solve for x
    x = 110,718,620,464.23/475,262.16
  6. Step 6: Final answer
    x = 232,963.26

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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.