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Finding the Fourth Proportional to 357,920.94, 536,853.48 and 208,065.66

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Solution

The fourth proportional to 357,920.94, 536,853.48 and 208,065.66 is: 312,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,920.94 : 536,853.48 = 208,065.66 : x
  2. Step 2: Convert to fraction form
    357,920.94/536,853.48 = 208,065.66/x
  3. Step 3: Cross multiply
    357,920.94x = 536,853.48 × 208,065.66
  4. Step 4: Simplify right side
    357,920.94x = 111,700,773,639.50
  5. Step 5: Solve for x
    x = 111,700,773,639.50/357,920.94
  6. Step 6: Final answer
    x = 312,082.25

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Why These Related Problems?

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