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Finding the Fourth Proportional to 333,475.38, 460,196.28 and 180,513.10

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Solution

The fourth proportional to 333,475.38, 460,196.28 and 180,513.10 is: 249,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,475.38 : 460,196.28 = 180,513.10 : x
  2. Step 2: Convert to fraction form
    333,475.38/460,196.28 = 180,513.10/x
  3. Step 3: Cross multiply
    333,475.38x = 460,196.28 × 180,513.10
  4. Step 4: Simplify right side
    333,475.38x = 83,071,457,111.27
  5. Step 5: Solve for x
    x = 83,071,457,111.27/333,475.38
  6. Step 6: Final answer
    x = 249,108.22

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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.