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Finding the Fourth Proportional to 460,071.13, 689,187.75 and 365,461.51

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Solution

The fourth proportional to 460,071.13, 689,187.75 and 365,461.51 is: 547,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,071.13 : 689,187.75 = 365,461.51 : x
  2. Step 2: Convert to fraction form
    460,071.13/689,187.75 = 365,461.51/x
  3. Step 3: Cross multiply
    460,071.13x = 689,187.75 × 365,461.51
  4. Step 4: Simplify right side
    460,071.13x = 251,871,595,788.50
  5. Step 5: Solve for x
    x = 251,871,595,788.50/460,071.13
  6. Step 6: Final answer
    x = 547,462.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.