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Finding the Fourth Proportional to 334,127.40, 501,210.30 and 97,506.60

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Solution

The fourth proportional to 334,127.40, 501,210.30 and 97,506.60 is: 146,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,127.40 : 501,210.30 = 97,506.60 : x
  2. Step 2: Convert to fraction form
    334,127.40/501,210.30 = 97,506.60/x
  3. Step 3: Cross multiply
    334,127.40x = 501,210.30 × 97,506.60
  4. Step 4: Simplify right side
    334,127.40x = 48,871,312,237.98
  5. Step 5: Solve for x
    x = 48,871,312,237.98/334,127.40
  6. Step 6: Final answer
    x = 146,265.50

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Why These Related Problems?

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