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Finding the Fourth Proportional to 470,692.50, 706,038.75 and 138,268.50

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Solution

The fourth proportional to 470,692.50, 706,038.75 and 138,268.50 is: 207,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,692.50 : 706,038.75 = 138,268.50 : x
  2. Step 2: Convert to fraction form
    470,692.50/706,038.75 = 138,268.50/x
  3. Step 3: Cross multiply
    470,692.50x = 706,038.75 × 138,268.50
  4. Step 4: Simplify right side
    470,692.50x = 97,622,918,904.38
  5. Step 5: Solve for x
    x = 97,622,918,904.38/470,692.50
  6. Step 6: Final answer
    x = 207,402.75

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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.