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Finding the Fourth Proportional to 502,100.74, 692,898.20 and 275,746.24

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Solution

The fourth proportional to 502,100.74, 692,898.20 and 275,746.24 is: 380,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,100.74 : 692,898.20 = 275,746.24 : x
  2. Step 2: Convert to fraction form
    502,100.74/692,898.20 = 275,746.24/x
  3. Step 3: Cross multiply
    502,100.74x = 692,898.20 × 275,746.24
  4. Step 4: Simplify right side
    502,100.74x = 191,064,073,352.77
  5. Step 5: Solve for x
    x = 191,064,073,352.77/502,100.74
  6. Step 6: Final answer
    x = 380,529.36

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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.