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Finding the Fourth Proportional to 297,762.30, 446,547.47 and 98,035.13

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Solution

The fourth proportional to 297,762.30, 446,547.47 and 98,035.13 is: 147,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,762.30 : 446,547.47 = 98,035.13 : x
  2. Step 2: Convert to fraction form
    297,762.30/446,547.47 = 98,035.13/x
  3. Step 3: Cross multiply
    297,762.30x = 446,547.47 × 98,035.13
  4. Step 4: Simplify right side
    297,762.30x = 43,777,339,898.81
  5. Step 5: Solve for x
    x = 43,777,339,898.81/297,762.30
  6. Step 6: Final answer
    x = 147,021.10

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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.