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Finding the Fourth Proportional to 473,212.50, 709,468.83 and 286,182.42

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Solution

The fourth proportional to 473,212.50, 709,468.83 and 286,182.42 is: 429,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,212.50 : 709,468.83 = 286,182.42 : x
  2. Step 2: Convert to fraction form
    473,212.50/709,468.83 = 286,182.42/x
  3. Step 3: Cross multiply
    473,212.50x = 709,468.83 × 286,182.42
  4. Step 4: Simplify right side
    473,212.50x = 203,037,506,683.97
  5. Step 5: Solve for x
    x = 203,037,506,683.97/473,212.50
  6. Step 6: Final answer
    x = 429,062.01

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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.