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Finding the Fourth Proportional to 705,192.57, 972,925.43 and 450,690.57

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Solution

The fourth proportional to 705,192.57, 972,925.43 and 450,690.57 is: 621,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,192.57 : 972,925.43 = 450,690.57 : x
  2. Step 2: Convert to fraction form
    705,192.57/972,925.43 = 450,690.57/x
  3. Step 3: Cross multiply
    705,192.57x = 972,925.43 × 450,690.57
  4. Step 4: Simplify right side
    705,192.57x = 438,488,314,360.74
  5. Step 5: Solve for x
    x = 438,488,314,360.74/705,192.57
  6. Step 6: Final answer
    x = 621,799.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.