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Finding the Fourth Proportional to 334,537, 501,707.08 and 97,823.41

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Solution

The fourth proportional to 334,537, 501,707.08 and 97,823.41 is: 146,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,537 : 501,707.08 = 97,823.41 : x
  2. Step 2: Convert to fraction form
    334,537/501,707.08 = 97,823.41/x
  3. Step 3: Cross multiply
    334,537x = 501,707.08 × 97,823.41
  4. Step 4: Simplify right side
    334,537x = 49,078,697,386.74
  5. Step 5: Solve for x
    x = 49,078,697,386.74/334,537
  6. Step 6: Final answer
    x = 146,706.34

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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.