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Finding the Fourth Proportional to 310,547.04, 465,820.67 and 97,331.50

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Solution

The fourth proportional to 310,547.04, 465,820.67 and 97,331.50 is: 145,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,547.04 : 465,820.67 = 97,331.50 : x
  2. Step 2: Convert to fraction form
    310,547.04/465,820.67 = 97,331.50/x
  3. Step 3: Cross multiply
    310,547.04x = 465,820.67 × 97,331.50
  4. Step 4: Simplify right side
    310,547.04x = 45,339,024,542.11
  5. Step 5: Solve for x
    x = 45,339,024,542.11/310,547.04
  6. Step 6: Final answer
    x = 145,997.28

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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.