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Finding the Fourth Proportional to 420,564.69, 630,846.95 and 232,222.59

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Solution

The fourth proportional to 420,564.69, 630,846.95 and 232,222.59 is: 348,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,564.69 : 630,846.95 = 232,222.59 : x
  2. Step 2: Convert to fraction form
    420,564.69/630,846.95 = 232,222.59/x
  3. Step 3: Cross multiply
    420,564.69x = 630,846.95 × 232,222.59
  4. Step 4: Simplify right side
    420,564.69x = 146,496,911,461.49
  5. Step 5: Solve for x
    x = 146,496,911,461.49/420,564.69
  6. Step 6: Final answer
    x = 348,333.84

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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.