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Finding the Fourth Proportional to 602,201.50, 831,038.07 and 333,929.50

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Solution

The fourth proportional to 602,201.50, 831,038.07 and 333,929.50 is: 460,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,201.50 : 831,038.07 = 333,929.50 : x
  2. Step 2: Convert to fraction form
    602,201.50/831,038.07 = 333,929.50/x
  3. Step 3: Cross multiply
    602,201.50x = 831,038.07 × 333,929.50
  4. Step 4: Simplify right side
    602,201.50x = 277,508,127,196.07
  5. Step 5: Solve for x
    x = 277,508,127,196.07/602,201.50
  6. Step 6: Final answer
    x = 460,822.71

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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.