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Finding the Fourth Proportional to 464,248.67, 696,389.51 and 148,664.57

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Solution

The fourth proportional to 464,248.67, 696,389.51 and 148,664.57 is: 223,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,248.67 : 696,389.51 = 148,664.57 : x
  2. Step 2: Convert to fraction form
    464,248.67/696,389.51 = 148,664.57/x
  3. Step 3: Cross multiply
    464,248.67x = 696,389.51 × 148,664.57
  4. Step 4: Simplify right side
    464,248.67x = 103,528,447,056.66
  5. Step 5: Solve for x
    x = 103,528,447,056.66/464,248.67
  6. Step 6: Final answer
    x = 223,002.14

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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.