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Finding the Fourth Proportional to 473,125.83, 709,698.71 and 169,539.77

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Solution

The fourth proportional to 473,125.83, 709,698.71 and 169,539.77 is: 254,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,125.83 : 709,698.71 = 169,539.77 : x
  2. Step 2: Convert to fraction form
    473,125.83/709,698.71 = 169,539.77/x
  3. Step 3: Cross multiply
    473,125.83x = 709,698.71 × 169,539.77
  4. Step 4: Simplify right side
    473,125.83x = 120,322,154,268.74
  5. Step 5: Solve for x
    x = 120,322,154,268.74/473,125.83
  6. Step 6: Final answer
    x = 254,313.22

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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.