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Finding the Fourth Proportional to 532,698.19, 735,119.15 and 290,980.82

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Solution

The fourth proportional to 532,698.19, 735,119.15 and 290,980.82 is: 401,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,698.19 : 735,119.15 = 290,980.82 : x
  2. Step 2: Convert to fraction form
    532,698.19/735,119.15 = 290,980.82/x
  3. Step 3: Cross multiply
    532,698.19x = 735,119.15 × 290,980.82
  4. Step 4: Simplify right side
    532,698.19x = 213,905,573,447.60
  5. Step 5: Solve for x
    x = 213,905,573,447.60/532,698.19
  6. Step 6: Final answer
    x = 401,551.16

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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.