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Finding the Fourth Proportional to 474,054, 711,081.06 and 141,630

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Solution

The fourth proportional to 474,054, 711,081.06 and 141,630 is: 212,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,054 : 711,081.06 = 141,630 : x
  2. Step 2: Convert to fraction form
    474,054/711,081.06 = 141,630/x
  3. Step 3: Cross multiply
    474,054x = 711,081.06 × 141,630
  4. Step 4: Simplify right side
    474,054x = 100,710,410,527.80
  5. Step 5: Solve for x
    x = 100,710,410,527.80/474,054
  6. Step 6: Final answer
    x = 212,445.02

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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.