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Finding the Fourth Proportional to 500,475.08, 750,187.74 and 234,011

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Solution

The fourth proportional to 500,475.08, 750,187.74 and 234,011 is: 350,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,475.08 : 750,187.74 = 234,011 : x
  2. Step 2: Convert to fraction form
    500,475.08/750,187.74 = 234,011/x
  3. Step 3: Cross multiply
    500,475.08x = 750,187.74 × 234,011
  4. Step 4: Simplify right side
    500,475.08x = 175,552,183,225.14
  5. Step 5: Solve for x
    x = 175,552,183,225.14/500,475.08
  6. Step 6: Final answer
    x = 350,771.08

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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.