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Finding the Fourth Proportional to 277,507.17, 416,005.59 and 99,970.76

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Solution

The fourth proportional to 277,507.17, 416,005.59 and 99,970.76 is: 149,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,507.17 : 416,005.59 = 99,970.76 : x
  2. Step 2: Convert to fraction form
    277,507.17/416,005.59 = 99,970.76/x
  3. Step 3: Cross multiply
    277,507.17x = 416,005.59 × 99,970.76
  4. Step 4: Simplify right side
    277,507.17x = 41,588,392,916.52
  5. Step 5: Solve for x
    x = 41,588,392,916.52/277,507.17
  6. Step 6: Final answer
    x = 149,864.21

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1.5x scale

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.