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Finding the Fourth Proportional to 507,897.41, 700,969.83 and 314,367.20

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Solution

The fourth proportional to 507,897.41, 700,969.83 and 314,367.20 is: 433,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,897.41 : 700,969.83 = 314,367.20 : x
  2. Step 2: Convert to fraction form
    507,897.41/700,969.83 = 314,367.20/x
  3. Step 3: Cross multiply
    507,897.41x = 700,969.83 × 314,367.20
  4. Step 4: Simplify right side
    507,897.41x = 220,361,917,664.89
  5. Step 5: Solve for x
    x = 220,361,917,664.89/507,897.41
  6. Step 6: Final answer
    x = 433,870.92

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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.