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Finding the Fourth Proportional to 298,050.71, 411,312.74 and 162,085.93

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Solution

The fourth proportional to 298,050.71, 411,312.74 and 162,085.93 is: 223,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,050.71 : 411,312.74 = 162,085.93 : x
  2. Step 2: Convert to fraction form
    298,050.71/411,312.74 = 162,085.93/x
  3. Step 3: Cross multiply
    298,050.71x = 411,312.74 × 162,085.93
  4. Step 4: Simplify right side
    298,050.71x = 66,668,006,145.04
  5. Step 5: Solve for x
    x = 66,668,006,145.04/298,050.71
  6. Step 6: Final answer
    x = 223,680.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.