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Finding the Fourth Proportional to 420,386.63, 580,145.84 and 229,412.32

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Solution

The fourth proportional to 420,386.63, 580,145.84 and 229,412.32 is: 316,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,386.63 : 580,145.84 = 229,412.32 : x
  2. Step 2: Convert to fraction form
    420,386.63/580,145.84 = 229,412.32/x
  3. Step 3: Cross multiply
    420,386.63x = 580,145.84 × 229,412.32
  4. Step 4: Simplify right side
    420,386.63x = 133,092,602,646.06
  5. Step 5: Solve for x
    x = 133,092,602,646.06/420,386.63
  6. Step 6: Final answer
    x = 316,595.71

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