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Finding the Fourth Proportional to 472,445.82, 708,962.61 and 191,963.07

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Solution

The fourth proportional to 472,445.82, 708,962.61 and 191,963.07 is: 288,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,445.82 : 708,962.61 = 191,963.07 : x
  2. Step 2: Convert to fraction form
    472,445.82/708,962.61 = 191,963.07/x
  3. Step 3: Cross multiply
    472,445.82x = 708,962.61 × 191,963.07
  4. Step 4: Simplify right side
    472,445.82x = 136,094,639,130.81
  5. Step 5: Solve for x
    x = 136,094,639,130.81/472,445.82
  6. Step 6: Final answer
    x = 288,064.01

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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.