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Finding the Fourth Proportional to 308,430.96, 462,692.52 and 98,075.76

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Solution

The fourth proportional to 308,430.96, 462,692.52 and 98,075.76 is: 147,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,430.96 : 462,692.52 = 98,075.76 : x
  2. Step 2: Convert to fraction form
    308,430.96/462,692.52 = 98,075.76/x
  3. Step 3: Cross multiply
    308,430.96x = 462,692.52 × 98,075.76
  4. Step 4: Simplify right side
    308,430.96x = 45,378,920,545.32
  5. Step 5: Solve for x
    x = 45,378,920,545.32/308,430.96
  6. Step 6: Final answer
    x = 147,128.29

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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.