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Finding the Fourth Proportional to 503,498.46, 694,894.23 and 302,307.42

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Solution

The fourth proportional to 503,498.46, 694,894.23 and 302,307.42 is: 417,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,498.46 : 694,894.23 = 302,307.42 : x
  2. Step 2: Convert to fraction form
    503,498.46/694,894.23 = 302,307.42/x
  3. Step 3: Cross multiply
    503,498.46x = 694,894.23 × 302,307.42
  4. Step 4: Simplify right side
    503,498.46x = 210,071,681,844.19
  5. Step 5: Solve for x
    x = 210,071,681,844.19/503,498.46
  6. Step 6: Final answer
    x = 417,224.08

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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.