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Finding the Fourth Proportional to 314,109.76, 433,632 and 242,328.64

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Solution

The fourth proportional to 314,109.76, 433,632 and 242,328.64 is: 334,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,109.76 : 433,632 = 242,328.64 : x
  2. Step 2: Convert to fraction form
    314,109.76/433,632 = 242,328.64/x
  3. Step 3: Cross multiply
    314,109.76x = 433,632 × 242,328.64
  4. Step 4: Simplify right side
    314,109.76x = 105,081,452,820.48
  5. Step 5: Solve for x
    x = 105,081,452,820.48/314,109.76
  6. Step 6: Final answer
    x = 334,537.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.