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Finding the Fourth Proportional to 472,712.94, 709,075.56 and 157,169.84

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Solution

The fourth proportional to 472,712.94, 709,075.56 and 157,169.84 is: 235,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,712.94 : 709,075.56 = 157,169.84 : x
  2. Step 2: Convert to fraction form
    472,712.94/709,075.56 = 157,169.84/x
  3. Step 3: Cross multiply
    472,712.94x = 709,075.56 × 157,169.84
  4. Step 4: Simplify right side
    472,712.94x = 111,445,292,313.11
  5. Step 5: Solve for x
    x = 111,445,292,313.11/472,712.94
  6. Step 6: Final answer
    x = 235,756.80

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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.