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Finding the Fourth Proportional to 346,515.44, 478,012.19 and 219,264.84

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Solution

The fourth proportional to 346,515.44, 478,012.19 and 219,264.84 is: 302,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,515.44 : 478,012.19 = 219,264.84 : x
  2. Step 2: Convert to fraction form
    346,515.44/478,012.19 = 219,264.84/x
  3. Step 3: Cross multiply
    346,515.44x = 478,012.19 × 219,264.84
  4. Step 4: Simplify right side
    346,515.44x = 104,811,265,262.08
  5. Step 5: Solve for x
    x = 104,811,265,262.08/346,515.44
  6. Step 6: Final answer
    x = 302,472.14

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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.