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Finding the Fourth Proportional to 461,652.41, 692,237.40 and 208,812.11

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Solution

The fourth proportional to 461,652.41, 692,237.40 and 208,812.11 is: 313,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,652.41 : 692,237.40 = 208,812.11 : x
  2. Step 2: Convert to fraction form
    461,652.41/692,237.40 = 208,812.11/x
  3. Step 3: Cross multiply
    461,652.41x = 692,237.40 × 208,812.11
  4. Step 4: Simplify right side
    461,652.41x = 144,547,552,114.91
  5. Step 5: Solve for x
    x = 144,547,552,114.91/461,652.41
  6. Step 6: Final answer
    x = 313,109.06

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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.