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Finding the Fourth Proportional to 428,547.24, 591,390.54 and 247,257

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Solution

The fourth proportional to 428,547.24, 591,390.54 and 247,257 is: 341,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,547.24 : 591,390.54 = 247,257 : x
  2. Step 2: Convert to fraction form
    428,547.24/591,390.54 = 247,257/x
  3. Step 3: Cross multiply
    428,547.24x = 591,390.54 × 247,257
  4. Step 4: Simplify right side
    428,547.24x = 146,225,450,748.78
  5. Step 5: Solve for x
    x = 146,225,450,748.78/428,547.24
  6. Step 6: Final answer
    x = 341,211.98

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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.