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Finding the Fourth Proportional to 510,726.13, 704,749.90 and 314,461.44

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Solution

The fourth proportional to 510,726.13, 704,749.90 and 314,461.44 is: 433,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,726.13 : 704,749.90 = 314,461.44 : x
  2. Step 2: Convert to fraction form
    510,726.13/704,749.90 = 314,461.44/x
  3. Step 3: Cross multiply
    510,726.13x = 704,749.90 × 314,461.44
  4. Step 4: Simplify right side
    510,726.13x = 221,616,664,870.11
  5. Step 5: Solve for x
    x = 221,616,664,870.11/510,726.13
  6. Step 6: Final answer
    x = 433,924.67

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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.