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Finding the Fourth Proportional to 472,346, 708,516.36 and 117,359.86

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Solution

The fourth proportional to 472,346, 708,516.36 and 117,359.86 is: 176,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,346 : 708,516.36 = 117,359.86 : x
  2. Step 2: Convert to fraction form
    472,346/708,516.36 = 117,359.86/x
  3. Step 3: Cross multiply
    472,346x = 708,516.36 × 117,359.86
  4. Step 4: Simplify right side
    472,346x = 83,151,380,817.31
  5. Step 5: Solve for x
    x = 83,151,380,817.31/472,346
  6. Step 6: Final answer
    x = 176,039.13

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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.