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Finding the Fourth Proportional to 413,055.18, 619,567.16 and 113,527.98

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Solution

The fourth proportional to 413,055.18, 619,567.16 and 113,527.98 is: 170,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,055.18 : 619,567.16 = 113,527.98 : x
  2. Step 2: Convert to fraction form
    413,055.18/619,567.16 = 113,527.98/x
  3. Step 3: Cross multiply
    413,055.18x = 619,567.16 × 113,527.98
  4. Step 4: Simplify right side
    413,055.18x = 70,338,207,581.50
  5. Step 5: Solve for x
    x = 70,338,207,581.50/413,055.18
  6. Step 6: Final answer
    x = 170,287.68

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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.