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Finding the Fourth Proportional to 535,026.22, 802,305.95 and 202,368.94

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Solution

The fourth proportional to 535,026.22, 802,305.95 and 202,368.94 is: 303,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,026.22 : 802,305.95 = 202,368.94 : x
  2. Step 2: Convert to fraction form
    535,026.22/802,305.95 = 202,368.94/x
  3. Step 3: Cross multiply
    535,026.22x = 802,305.95 × 202,368.94
  4. Step 4: Simplify right side
    535,026.22x = 162,361,801,639.58
  5. Step 5: Solve for x
    x = 162,361,801,639.58/535,026.22
  6. Step 6: Final answer
    x = 303,465.13

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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.