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Finding the Fourth Proportional to 314,950.95, 472,730.93 and 297,882.17

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Solution

The fourth proportional to 314,950.95, 472,730.93 and 297,882.17 is: 447,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,950.95 : 472,730.93 = 297,882.17 : x
  2. Step 2: Convert to fraction form
    314,950.95/472,730.93 = 297,882.17/x
  3. Step 3: Cross multiply
    314,950.95x = 472,730.93 × 297,882.17
  4. Step 4: Simplify right side
    314,950.95x = 140,818,111,401.45
  5. Step 5: Solve for x
    x = 140,818,111,401.45/314,950.95
  6. Step 6: Final answer
    x = 447,111.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.