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Finding the Fourth Proportional to 280,585.32, 387,205.44 and 153,261

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Solution

The fourth proportional to 280,585.32, 387,205.44 and 153,261 is: 211,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,585.32 : 387,205.44 = 153,261 : x
  2. Step 2: Convert to fraction form
    280,585.32/387,205.44 = 153,261/x
  3. Step 3: Cross multiply
    280,585.32x = 387,205.44 × 153,261
  4. Step 4: Simplify right side
    280,585.32x = 59,343,492,939.84
  5. Step 5: Solve for x
    x = 59,343,492,939.84/280,585.32
  6. Step 6: Final answer
    x = 211,498.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.