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Finding the Fourth Proportional to 404,712.90, 606,680.55 and 314,705.70

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Solution

The fourth proportional to 404,712.90, 606,680.55 and 314,705.70 is: 471,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,712.90 : 606,680.55 = 314,705.70 : x
  2. Step 2: Convert to fraction form
    404,712.90/606,680.55 = 314,705.70/x
  3. Step 3: Cross multiply
    404,712.90x = 606,680.55 × 314,705.70
  4. Step 4: Simplify right side
    404,712.90x = 190,925,827,164.14
  5. Step 5: Solve for x
    x = 190,925,827,164.14/404,712.90
  6. Step 6: Final answer
    x = 471,756.22

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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.