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Finding the Fourth Proportional to 434,598.84, 651,988.50 and 135,071.16

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Solution

The fourth proportional to 434,598.84, 651,988.50 and 135,071.16 is: 202,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,598.84 : 651,988.50 = 135,071.16 : x
  2. Step 2: Convert to fraction form
    434,598.84/651,988.50 = 135,071.16/x
  3. Step 3: Cross multiply
    434,598.84x = 651,988.50 × 135,071.16
  4. Step 4: Simplify right side
    434,598.84x = 88,064,843,001.66
  5. Step 5: Solve for x
    x = 88,064,843,001.66/434,598.84
  6. Step 6: Final answer
    x = 202,634.79

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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.