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Finding the Fourth Proportional to 277,730.20, 416,498.10 and 144,566.20

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Solution

The fourth proportional to 277,730.20, 416,498.10 and 144,566.20 is: 216,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,730.20 : 416,498.10 = 144,566.20 : x
  2. Step 2: Convert to fraction form
    277,730.20/416,498.10 = 144,566.20/x
  3. Step 3: Cross multiply
    277,730.20x = 416,498.10 × 144,566.20
  4. Step 4: Simplify right side
    277,730.20x = 60,211,547,624.22
  5. Step 5: Solve for x
    x = 60,211,547,624.22/277,730.20
  6. Step 6: Final answer
    x = 216,798.70

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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.