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Finding the Fourth Proportional to 468,561.16, 702,752.36 and 228,434.02

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Solution

The fourth proportional to 468,561.16, 702,752.36 and 228,434.02 is: 342,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,561.16 : 702,752.36 = 228,434.02 : x
  2. Step 2: Convert to fraction form
    468,561.16/702,752.36 = 228,434.02/x
  3. Step 3: Cross multiply
    468,561.16x = 702,752.36 × 228,434.02
  4. Step 4: Simplify right side
    468,561.16x = 160,532,547,713.22
  5. Step 5: Solve for x
    x = 160,532,547,713.22/468,561.16
  6. Step 6: Final answer
    x = 342,607.46

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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.