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Finding the Fourth Proportional to 367,646.55, 507,341.18 and 204,302.50

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Solution

The fourth proportional to 367,646.55, 507,341.18 and 204,302.50 is: 281,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,646.55 : 507,341.18 = 204,302.50 : x
  2. Step 2: Convert to fraction form
    367,646.55/507,341.18 = 204,302.50/x
  3. Step 3: Cross multiply
    367,646.55x = 507,341.18 × 204,302.50
  4. Step 4: Simplify right side
    367,646.55x = 103,651,073,810.45
  5. Step 5: Solve for x
    x = 103,651,073,810.45/367,646.55
  6. Step 6: Final answer
    x = 281,931.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.