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Finding the Fourth Proportional to 468,465.34, 646,484.25 and 253,605.40

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Solution

The fourth proportional to 468,465.34, 646,484.25 and 253,605.40 is: 349,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,465.34 : 646,484.25 = 253,605.40 : x
  2. Step 2: Convert to fraction form
    468,465.34/646,484.25 = 253,605.40/x
  3. Step 3: Cross multiply
    468,465.34x = 646,484.25 × 253,605.40
  4. Step 4: Simplify right side
    468,465.34x = 163,951,896,814.95
  5. Step 5: Solve for x
    x = 163,951,896,814.95/468,465.34
  6. Step 6: Final answer
    x = 349,976.58

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1.5x scale

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.