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Finding the Fourth Proportional to 503,153.24, 694,368.59 and 288,334.76

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Solution

The fourth proportional to 503,153.24, 694,368.59 and 288,334.76 is: 397,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,153.24 : 694,368.59 = 288,334.76 : x
  2. Step 2: Convert to fraction form
    503,153.24/694,368.59 = 288,334.76/x
  3. Step 3: Cross multiply
    503,153.24x = 694,368.59 × 288,334.76
  4. Step 4: Simplify right side
    503,153.24x = 200,210,595,835.67
  5. Step 5: Solve for x
    x = 200,210,595,835.67/503,153.24
  6. Step 6: Final answer
    x = 397,911.77

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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.