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Finding the Fourth Proportional to 473,166.80, 708,583.80 and 314,536.40

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Solution

The fourth proportional to 473,166.80, 708,583.80 and 314,536.40 is: 471,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,166.80 : 708,583.80 = 314,536.40 : x
  2. Step 2: Convert to fraction form
    473,166.80/708,583.80 = 314,536.40/x
  3. Step 3: Cross multiply
    473,166.80x = 708,583.80 × 314,536.40
  4. Step 4: Simplify right side
    473,166.80x = 222,875,397,550.32
  5. Step 5: Solve for x
    x = 222,875,397,550.32/473,166.80
  6. Step 6: Final answer
    x = 471,029.24

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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.