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Finding the Fourth Proportional to 611,097.75, 916,671.47 and 291,085.11

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Solution

The fourth proportional to 611,097.75, 916,671.47 and 291,085.11 is: 436,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,097.75 : 916,671.47 = 291,085.11 : x
  2. Step 2: Convert to fraction form
    611,097.75/916,671.47 = 291,085.11/x
  3. Step 3: Cross multiply
    611,097.75x = 916,671.47 × 291,085.11
  4. Step 4: Simplify right side
    611,097.75x = 266,829,414,223.39
  5. Step 5: Solve for x
    x = 266,829,414,223.39/611,097.75
  6. Step 6: Final answer
    x = 436,639.50

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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.