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Finding the Fourth Proportional to 495,141.96, 742,593.48 and 228,646.32

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Solution

The fourth proportional to 495,141.96, 742,593.48 and 228,646.32 is: 342,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,141.96 : 742,593.48 = 228,646.32 : x
  2. Step 2: Convert to fraction form
    495,141.96/742,593.48 = 228,646.32/x
  3. Step 3: Cross multiply
    495,141.96x = 742,593.48 × 228,646.32
  4. Step 4: Simplify right side
    495,141.96x = 169,791,266,457.99
  5. Step 5: Solve for x
    x = 169,791,266,457.99/495,141.96
  6. Step 6: Final answer
    x = 342,914.32

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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.