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Finding the Fourth Proportional to 377,017.34, 565,307.30 and 152,193.74

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Solution

The fourth proportional to 377,017.34, 565,307.30 and 152,193.74 is: 228,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,017.34 : 565,307.30 = 152,193.74 : x
  2. Step 2: Convert to fraction form
    377,017.34/565,307.30 = 152,193.74/x
  3. Step 3: Cross multiply
    377,017.34x = 565,307.30 × 152,193.74
  4. Step 4: Simplify right side
    377,017.34x = 86,036,229,790.25
  5. Step 5: Solve for x
    x = 86,036,229,790.25/377,017.34
  6. Step 6: Final answer
    x = 228,202.32

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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.