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Finding the Fourth Proportional to 472,347, 708,689.52 and 202,361.76

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Solution

The fourth proportional to 472,347, 708,689.52 and 202,361.76 is: 303,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,347 : 708,689.52 = 202,361.76 : x
  2. Step 2: Convert to fraction form
    472,347/708,689.52 = 202,361.76/x
  3. Step 3: Cross multiply
    472,347x = 708,689.52 × 202,361.76
  4. Step 4: Simplify right side
    472,347x = 143,411,658,560.76
  5. Step 5: Solve for x
    x = 143,411,658,560.76/472,347
  6. Step 6: Final answer
    x = 303,615.05

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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.