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Finding the Fourth Proportional to 473,807.06, 710,670.65 and 203,924.30

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Solution

The fourth proportional to 473,807.06, 710,670.65 and 203,924.30 is: 305,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,807.06 : 710,670.65 = 203,924.30 : x
  2. Step 2: Convert to fraction form
    473,807.06/710,670.65 = 203,924.30/x
  3. Step 3: Cross multiply
    473,807.06x = 710,670.65 × 203,924.30
  4. Step 4: Simplify right side
    473,807.06x = 144,923,011,788.25
  5. Step 5: Solve for x
    x = 144,923,011,788.25/473,807.06
  6. Step 6: Final answer
    x = 305,869.26

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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.