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Finding the Fourth Proportional to 292,398, 403,510.46 and 158,262

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Solution

The fourth proportional to 292,398, 403,510.46 and 158,262 is: 218,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,398 : 403,510.46 = 158,262 : x
  2. Step 2: Convert to fraction form
    292,398/403,510.46 = 158,262/x
  3. Step 3: Cross multiply
    292,398x = 403,510.46 × 158,262
  4. Step 4: Simplify right side
    292,398x = 63,860,371,629.21
  5. Step 5: Solve for x
    x = 63,860,371,629.21/292,398
  6. Step 6: Final answer
    x = 218,402.22

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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.