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Finding the Fourth Proportional to 380,113.75, 569,715.61 and 177,437.17

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Solution

The fourth proportional to 380,113.75, 569,715.61 and 177,437.17 is: 265,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,113.75 : 569,715.61 = 177,437.17 : x
  2. Step 2: Convert to fraction form
    380,113.75/569,715.61 = 177,437.17/x
  3. Step 3: Cross multiply
    380,113.75x = 569,715.61 × 177,437.17
  4. Step 4: Simplify right side
    380,113.75x = 101,088,725,543.22
  5. Step 5: Solve for x
    x = 101,088,725,543.22/380,113.75
  6. Step 6: Final answer
    x = 265,943.35

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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.