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Finding the Fourth Proportional to 509,777.04, 764,616.00 and 154,794.14

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Solution

The fourth proportional to 509,777.04, 764,616.00 and 154,794.14 is: 232,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,777.04 : 764,616.00 = 154,794.14 : x
  2. Step 2: Convert to fraction form
    509,777.04/764,616.00 = 154,794.14/x
  3. Step 3: Cross multiply
    509,777.04x = 764,616.00 × 154,794.14
  4. Step 4: Simplify right side
    509,777.04x = 118,358,075,774.95
  5. Step 5: Solve for x
    x = 118,358,075,774.95/509,777.04
  6. Step 6: Final answer
    x = 232,176.16

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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.