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Finding the Fourth Proportional to 231,528, 347,292.00 and 152,623.77

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Solution

The fourth proportional to 231,528, 347,292.00 and 152,623.77 is: 228,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,528 : 347,292.00 = 152,623.77 : x
  2. Step 2: Convert to fraction form
    231,528/347,292.00 = 152,623.77/x
  3. Step 3: Cross multiply
    231,528x = 347,292.00 × 152,623.77
  4. Step 4: Simplify right side
    231,528x = 53,005,013,567.72
  5. Step 5: Solve for x
    x = 53,005,013,567.72/231,528
  6. Step 6: Final answer
    x = 228,935.65

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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.