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Finding the Fourth Proportional to 610,316.30, 842,202.77 and 338,368.32

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Solution

The fourth proportional to 610,316.30, 842,202.77 and 338,368.32 is: 466,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,316.30 : 842,202.77 = 338,368.32 : x
  2. Step 2: Convert to fraction form
    610,316.30/842,202.77 = 338,368.32/x
  3. Step 3: Cross multiply
    610,316.30x = 842,202.77 × 338,368.32
  4. Step 4: Simplify right side
    610,316.30x = 284,974,734,692.41
  5. Step 5: Solve for x
    x = 284,974,734,692.41/610,316.30
  6. Step 6: Final answer
    x = 466,929.58

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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.