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Finding the Fourth Proportional to 650,094.51, 897,113.16 and 359,698.51

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Solution

The fourth proportional to 650,094.51, 897,113.16 and 359,698.51 is: 496,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,094.51 : 897,113.16 = 359,698.51 : x
  2. Step 2: Convert to fraction form
    650,094.51/897,113.16 = 359,698.51/x
  3. Step 3: Cross multiply
    650,094.51x = 897,113.16 × 359,698.51
  4. Step 4: Simplify right side
    650,094.51x = 322,690,264,710.61
  5. Step 5: Solve for x
    x = 322,690,264,710.61/650,094.51
  6. Step 6: Final answer
    x = 496,374.39

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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.