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Finding the Fourth Proportional to 385,643.30, 578,464.95 and 385,643.30

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Solution

The fourth proportional to 385,643.30, 578,464.95 and 385,643.30 is: 578,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,643.30 : 578,464.95 = 385,643.30 : x
  2. Step 2: Convert to fraction form
    385,643.30/578,464.95 = 385,643.30/x
  3. Step 3: Cross multiply
    385,643.30x = 578,464.95 × 385,643.30
  4. Step 4: Simplify right side
    385,643.30x = 223,081,132,252.34
  5. Step 5: Solve for x
    x = 223,081,132,252.34/385,643.30
  6. Step 6: Final answer
    x = 578,464.95

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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.