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Finding the Fourth Proportional to 291,834, 402,737.07 and 164,509.59

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Solution

The fourth proportional to 291,834, 402,737.07 and 164,509.59 is: 227,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,834 : 402,737.07 = 164,509.59 : x
  2. Step 2: Convert to fraction form
    291,834/402,737.07 = 164,509.59/x
  3. Step 3: Cross multiply
    291,834x = 402,737.07 × 164,509.59
  4. Step 4: Simplify right side
    291,834x = 66,254,111,927.99
  5. Step 5: Solve for x
    x = 66,254,111,927.99/291,834
  6. Step 6: Final answer
    x = 227,026.71

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1.5x scale

Why These Related Problems?

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