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Finding the Fourth Proportional to 477,706.16, 716,443.80 and 140,655.08

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Solution

The fourth proportional to 477,706.16, 716,443.80 and 140,655.08 is: 210,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,706.16 : 716,443.80 = 140,655.08 : x
  2. Step 2: Convert to fraction form
    477,706.16/716,443.80 = 140,655.08/x
  3. Step 3: Cross multiply
    477,706.16x = 716,443.80 × 140,655.08
  4. Step 4: Simplify right side
    477,706.16x = 100,771,460,004.50
  5. Step 5: Solve for x
    x = 100,771,460,004.50/477,706.16
  6. Step 6: Final answer
    x = 210,948.63

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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.