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Finding the Fourth Proportional to 472,528.96, 708,796 and 117,543

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Solution

The fourth proportional to 472,528.96, 708,796 and 117,543 is: 176,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,528.96 : 708,796 = 117,543 : x
  2. Step 2: Convert to fraction form
    472,528.96/708,796 = 117,543/x
  3. Step 3: Cross multiply
    472,528.96x = 708,796 × 117,543
  4. Step 4: Simplify right side
    472,528.96x = 83,314,008,228
  5. Step 5: Solve for x
    x = 83,314,008,228/472,528.96
  6. Step 6: Final answer
    x = 176,315.14

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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.