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Finding the Fourth Proportional to 594,089.60, 891,353.10 and 194,743.40

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Solution

The fourth proportional to 594,089.60, 891,353.10 and 194,743.40 is: 292,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,089.60 : 891,353.10 = 194,743.40 : x
  2. Step 2: Convert to fraction form
    594,089.60/891,353.10 = 194,743.40/x
  3. Step 3: Cross multiply
    594,089.60x = 891,353.10 × 194,743.40
  4. Step 4: Simplify right side
    594,089.60x = 173,585,133,294.54
  5. Step 5: Solve for x
    x = 173,585,133,294.54/594,089.60
  6. Step 6: Final answer
    x = 292,186.79

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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.