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Finding the Fourth Proportional to 434,681.90, 651,562.67 and 146,218.94

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Solution

The fourth proportional to 434,681.90, 651,562.67 and 146,218.94 is: 219,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,681.90 : 651,562.67 = 146,218.94 : x
  2. Step 2: Convert to fraction form
    434,681.90/651,562.67 = 146,218.94/x
  3. Step 3: Cross multiply
    434,681.90x = 651,562.67 × 146,218.94
  4. Step 4: Simplify right side
    434,681.90x = 95,270,803,848.78
  5. Step 5: Solve for x
    x = 95,270,803,848.78/434,681.90
  6. Step 6: Final answer
    x = 219,173.62

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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.