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Finding the Fourth Proportional to 265,284.06, 398,064.33 and 117,505.50

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Solution

The fourth proportional to 265,284.06, 398,064.33 and 117,505.50 is: 176,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,284.06 : 398,064.33 = 117,505.50 : x
  2. Step 2: Convert to fraction form
    265,284.06/398,064.33 = 117,505.50/x
  3. Step 3: Cross multiply
    265,284.06x = 398,064.33 × 117,505.50
  4. Step 4: Simplify right side
    265,284.06x = 46,774,748,128.82
  5. Step 5: Solve for x
    x = 46,774,748,128.82/265,284.06
  6. Step 6: Final answer
    x = 176,319.48

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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.