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Finding the Fourth Proportional to 405,330.32, 559,298.70 and 230,905.11

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Solution

The fourth proportional to 405,330.32, 559,298.70 and 230,905.11 is: 318,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,330.32 : 559,298.70 = 230,905.11 : x
  2. Step 2: Convert to fraction form
    405,330.32/559,298.70 = 230,905.11/x
  3. Step 3: Cross multiply
    405,330.32x = 559,298.70 × 230,905.11
  4. Step 4: Simplify right side
    405,330.32x = 129,144,926,691.83
  5. Step 5: Solve for x
    x = 129,144,926,691.83/405,330.32
  6. Step 6: Final answer
    x = 318,616.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.