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Finding the Fourth Proportional to 429,297, 592,457.38 and 248,016.56

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Solution

The fourth proportional to 429,297, 592,457.38 and 248,016.56 is: 342,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,297 : 592,457.38 = 248,016.56 : x
  2. Step 2: Convert to fraction form
    429,297/592,457.38 = 248,016.56/x
  3. Step 3: Cross multiply
    429,297x = 592,457.38 × 248,016.56
  4. Step 4: Simplify right side
    429,297x = 146,939,241,334.21
  5. Step 5: Solve for x
    x = 146,939,241,334.21/429,297
  6. Step 6: Final answer
    x = 342,278.75

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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.