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Finding the Fourth Proportional to 495,209.64, 742,806 and 158,247.84

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Solution

The fourth proportional to 495,209.64, 742,806 and 158,247.84 is: 237,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,209.64 : 742,806 = 158,247.84 : x
  2. Step 2: Convert to fraction form
    495,209.64/742,806 = 158,247.84/x
  3. Step 3: Cross multiply
    495,209.64x = 742,806 × 158,247.84
  4. Step 4: Simplify right side
    495,209.64x = 117,547,445,039.04
  5. Step 5: Solve for x
    x = 117,547,445,039.04/495,209.64
  6. Step 6: Final answer
    x = 237,369.06

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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.