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Finding the Fourth Proportional to 507,916.50, 700,996.22 and 314,386.32

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Solution

The fourth proportional to 507,916.50, 700,996.22 and 314,386.32 is: 433,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,916.50 : 700,996.22 = 314,386.32 : x
  2. Step 2: Convert to fraction form
    507,916.50/700,996.22 = 314,386.32/x
  3. Step 3: Cross multiply
    507,916.50x = 700,996.22 × 314,386.32
  4. Step 4: Simplify right side
    507,916.50x = 220,383,621,939.71
  5. Step 5: Solve for x
    x = 220,383,621,939.71/507,916.50
  6. Step 6: Final answer
    x = 433,897.35

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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.