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Finding the Fourth Proportional to 692,305, 1,038,457.50 and 193,669

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Solution

The fourth proportional to 692,305, 1,038,457.50 and 193,669 is: 290,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,305 : 1,038,457.50 = 193,669 : x
  2. Step 2: Convert to fraction form
    692,305/1,038,457.50 = 193,669/x
  3. Step 3: Cross multiply
    692,305x = 1,038,457.50 × 193,669
  4. Step 4: Simplify right side
    692,305x = 201,117,025,567.50
  5. Step 5: Solve for x
    x = 201,117,025,567.50/692,305
  6. Step 6: Final answer
    x = 290,503.50

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Similar ratio
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1.5x scale

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.