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Finding the Fourth Proportional to 333,888.56, 500,994.84 and 146,875.76

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Solution

The fourth proportional to 333,888.56, 500,994.84 and 146,875.76 is: 220,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,888.56 : 500,994.84 = 146,875.76 : x
  2. Step 2: Convert to fraction form
    333,888.56/500,994.84 = 146,875.76/x
  3. Step 3: Cross multiply
    333,888.56x = 500,994.84 × 146,875.76
  4. Step 4: Simplify right side
    333,888.56x = 73,583,997,881.08
  5. Step 5: Solve for x
    x = 73,583,997,881.08/333,888.56
  6. Step 6: Final answer
    x = 220,384.90

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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.