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Finding the Fourth Proportional to 287,030.80, 430,351.80 and 152,117.20

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Solution

The fourth proportional to 287,030.80, 430,351.80 and 152,117.20 is: 228,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,030.80 : 430,351.80 = 152,117.20 : x
  2. Step 2: Convert to fraction form
    287,030.80/430,351.80 = 152,117.20/x
  3. Step 3: Cross multiply
    287,030.80x = 430,351.80 × 152,117.20
  4. Step 4: Simplify right side
    287,030.80x = 65,463,910,830.96
  5. Step 5: Solve for x
    x = 65,463,910,830.96/287,030.80
  6. Step 6: Final answer
    x = 228,072.77

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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.