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Finding the Fourth Proportional to 463,818.17, 695,492.15 and 164,256.57

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Solution

The fourth proportional to 463,818.17, 695,492.15 and 164,256.57 is: 246,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,818.17 : 695,492.15 = 164,256.57 : x
  2. Step 2: Convert to fraction form
    463,818.17/695,492.15 = 164,256.57/x
  3. Step 3: Cross multiply
    463,818.17x = 695,492.15 × 164,256.57
  4. Step 4: Simplify right side
    463,818.17x = 114,239,154,199.64
  5. Step 5: Solve for x
    x = 114,239,154,199.64/463,818.17
  6. Step 6: Final answer
    x = 246,301.60

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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.