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Finding the Fourth Proportional to 504,547.32, 757,023 and 205,050.96

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Solution

The fourth proportional to 504,547.32, 757,023 and 205,050.96 is: 307,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,547.32 : 757,023 = 205,050.96 : x
  2. Step 2: Convert to fraction form
    504,547.32/757,023 = 205,050.96/x
  3. Step 3: Cross multiply
    504,547.32x = 757,023 × 205,050.96
  4. Step 4: Simplify right side
    504,547.32x = 155,228,292,892.08
  5. Step 5: Solve for x
    x = 155,228,292,892.08/504,547.32
  6. Step 6: Final answer
    x = 307,658.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.