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Finding the Fourth Proportional to 401,492.86, 602,048.52 and 233,064.82

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Solution

The fourth proportional to 401,492.86, 602,048.52 and 233,064.82 is: 349,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,492.86 : 602,048.52 = 233,064.82 : x
  2. Step 2: Convert to fraction form
    401,492.86/602,048.52 = 233,064.82/x
  3. Step 3: Cross multiply
    401,492.86x = 602,048.52 × 233,064.82
  4. Step 4: Simplify right side
    401,492.86x = 140,316,329,945.07
  5. Step 5: Solve for x
    x = 140,316,329,945.07/401,492.86
  6. Step 6: Final answer
    x = 349,486.49

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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.