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Finding the Fourth Proportional to 298,707.16, 448,071.63 and 99,045.01

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Solution

The fourth proportional to 298,707.16, 448,071.63 and 99,045.01 is: 148,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,707.16 : 448,071.63 = 99,045.01 : x
  2. Step 2: Convert to fraction form
    298,707.16/448,071.63 = 99,045.01/x
  3. Step 3: Cross multiply
    298,707.16x = 448,071.63 × 99,045.01
  4. Step 4: Simplify right side
    298,707.16x = 44,379,259,074.07
  5. Step 5: Solve for x
    x = 44,379,259,074.07/298,707.16
  6. Step 6: Final answer
    x = 148,571.13

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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.