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Finding the Fourth Proportional to 209,358, 314,040.44 and 59,602

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Solution

The fourth proportional to 209,358, 314,040.44 and 59,602 is: 89,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,358 : 314,040.44 = 59,602 : x
  2. Step 2: Convert to fraction form
    209,358/314,040.44 = 59,602/x
  3. Step 3: Cross multiply
    209,358x = 314,040.44 × 59,602
  4. Step 4: Simplify right side
    209,358x = 18,717,438,304.88
  5. Step 5: Solve for x
    x = 18,717,438,304.88/209,358
  6. Step 6: Final answer
    x = 89,403.98

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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.