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Finding the Fourth Proportional to 460,089.90, 634,908.51 and 258,847.02

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Solution

The fourth proportional to 460,089.90, 634,908.51 and 258,847.02 is: 357,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,089.90 : 634,908.51 = 258,847.02 : x
  2. Step 2: Convert to fraction form
    460,089.90/634,908.51 = 258,847.02/x
  3. Step 3: Cross multiply
    460,089.90x = 634,908.51 × 258,847.02
  4. Step 4: Simplify right side
    460,089.90x = 164,344,175,786.14
  5. Step 5: Solve for x
    x = 164,344,175,786.14/460,089.90
  6. Step 6: Final answer
    x = 357,200.14

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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.