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Finding the Fourth Proportional to 434,142, 599,117.80 and 252,978.22

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Solution

The fourth proportional to 434,142, 599,117.80 and 252,978.22 is: 349,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,142 : 599,117.80 = 252,978.22 : x
  2. Step 2: Convert to fraction form
    434,142/599,117.80 = 252,978.22/x
  3. Step 3: Cross multiply
    434,142x = 599,117.80 × 252,978.22
  4. Step 4: Simplify right side
    434,142x = 151,563,754,614.32
  5. Step 5: Solve for x
    x = 151,563,754,614.32/434,142
  6. Step 6: Final answer
    x = 349,111.02

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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.