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Finding the Fourth Proportional to 473,212, 709,468.08 and 286,181.92

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Solution

The fourth proportional to 473,212, 709,468.08 and 286,181.92 is: 429,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,212 : 709,468.08 = 286,181.92 : x
  2. Step 2: Convert to fraction form
    473,212/709,468.08 = 286,181.92/x
  3. Step 3: Cross multiply
    473,212x = 709,468.08 × 286,181.92
  4. Step 4: Simplify right side
    473,212x = 203,036,937,313.11
  5. Step 5: Solve for x
    x = 203,036,937,313.11/473,212
  6. Step 6: Final answer
    x = 429,061.26

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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.