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Finding the Fourth Proportional to 472,360.10, 708,475.35 and 156,784.10

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Solution

The fourth proportional to 472,360.10, 708,475.35 and 156,784.10 is: 235,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,360.10 : 708,475.35 = 156,784.10 : x
  2. Step 2: Convert to fraction form
    472,360.10/708,475.35 = 156,784.10/x
  3. Step 3: Cross multiply
    472,360.10x = 708,475.35 × 156,784.10
  4. Step 4: Simplify right side
    472,360.10x = 111,077,670,121.94
  5. Step 5: Solve for x
    x = 111,077,670,121.94/472,360.10
  6. Step 6: Final answer
    x = 235,154.64

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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.