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Finding the Fourth Proportional to 318,274.84, 477,386.88 and 185,070.16

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Solution

The fourth proportional to 318,274.84, 477,386.88 and 185,070.16 is: 277,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,274.84 : 477,386.88 = 185,070.16 : x
  2. Step 2: Convert to fraction form
    318,274.84/477,386.88 = 185,070.16/x
  3. Step 3: Cross multiply
    318,274.84x = 477,386.88 × 185,070.16
  4. Step 4: Simplify right side
    318,274.84x = 88,350,066,263.50
  5. Step 5: Solve for x
    x = 88,350,066,263.50/318,274.84
  6. Step 6: Final answer
    x = 277,590.48

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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.