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Finding the Fourth Proportional to 315,655.68, 473,526.38 and 102,354.04

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Solution

The fourth proportional to 315,655.68, 473,526.38 and 102,354.04 is: 153,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,655.68 : 473,526.38 = 102,354.04 : x
  2. Step 2: Convert to fraction form
    315,655.68/473,526.38 = 102,354.04/x
  3. Step 3: Cross multiply
    315,655.68x = 473,526.38 × 102,354.04
  4. Step 4: Simplify right side
    315,655.68x = 48,467,338,039.58
  5. Step 5: Solve for x
    x = 48,467,338,039.58/315,655.68
  6. Step 6: Final answer
    x = 153,544.96

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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.