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Finding the Fourth Proportional to 468,602.70, 646,670.82 and 253,743.40

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Solution

The fourth proportional to 468,602.70, 646,670.82 and 253,743.40 is: 350,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,602.70 : 646,670.82 = 253,743.40 : x
  2. Step 2: Convert to fraction form
    468,602.70/646,670.82 = 253,743.40/x
  3. Step 3: Cross multiply
    468,602.70x = 646,670.82 × 253,743.40
  4. Step 4: Simplify right side
    468,602.70x = 164,088,452,547.59
  5. Step 5: Solve for x
    x = 164,088,452,547.59/468,602.70
  6. Step 6: Final answer
    x = 350,165.40

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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.