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Finding the Fourth Proportional to 385,106.40, 577,045.20 and 322,437.60

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Solution

The fourth proportional to 385,106.40, 577,045.20 and 322,437.60 is: 483,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,106.40 : 577,045.20 = 322,437.60 : x
  2. Step 2: Convert to fraction form
    385,106.40/577,045.20 = 322,437.60/x
  3. Step 3: Cross multiply
    385,106.40x = 577,045.20 × 322,437.60
  4. Step 4: Simplify right side
    385,106.40x = 186,061,069,379.52
  5. Step 5: Solve for x
    x = 186,061,069,379.52/385,106.40
  6. Step 6: Final answer
    x = 483,141.98

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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.