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Finding the Fourth Proportional to 472,730.90, 709,102.52 and 157,187.84

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Solution

The fourth proportional to 472,730.90, 709,102.52 and 157,187.84 is: 235,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,730.90 : 709,102.52 = 157,187.84 : x
  2. Step 2: Convert to fraction form
    472,730.90/709,102.52 = 157,187.84/x
  3. Step 3: Cross multiply
    472,730.90x = 709,102.52 × 157,187.84
  4. Step 4: Simplify right side
    472,730.90x = 111,462,293,457.36
  5. Step 5: Solve for x
    x = 111,462,293,457.36/472,730.90
  6. Step 6: Final answer
    x = 235,783.81

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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.