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Finding the Fourth Proportional to 369,038.46, 553,109.36 and 200,158.32

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Solution

The fourth proportional to 369,038.46, 553,109.36 and 200,158.32 is: 299,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,038.46 : 553,109.36 = 200,158.32 : x
  2. Step 2: Convert to fraction form
    369,038.46/553,109.36 = 200,158.32/x
  3. Step 3: Cross multiply
    369,038.46x = 553,109.36 × 200,158.32
  4. Step 4: Simplify right side
    369,038.46x = 110,709,439,273.08
  5. Step 5: Solve for x
    x = 110,709,439,273.08/369,038.46
  6. Step 6: Final answer
    x = 299,994.31

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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.