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Finding the Fourth Proportional to 420,547.62, 630,830.37 and 150,693.36

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Solution

The fourth proportional to 420,547.62, 630,830.37 and 150,693.36 is: 226,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,547.62 : 630,830.37 = 150,693.36 : x
  2. Step 2: Convert to fraction form
    420,547.62/630,830.37 = 150,693.36/x
  3. Step 3: Cross multiply
    420,547.62x = 630,830.37 × 150,693.36
  4. Step 4: Simplify right side
    420,547.62x = 95,061,948,045.34
  5. Step 5: Solve for x
    x = 95,061,948,045.34/420,547.62
  6. Step 6: Final answer
    x = 226,043.24

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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.