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Finding the Fourth Proportional to 536,206.66, 740,030.85 and 309,852.16

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Solution

The fourth proportional to 536,206.66, 740,030.85 and 309,852.16 is: 427,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,206.66 : 740,030.85 = 309,852.16 : x
  2. Step 2: Convert to fraction form
    536,206.66/740,030.85 = 309,852.16/x
  3. Step 3: Cross multiply
    536,206.66x = 740,030.85 × 309,852.16
  4. Step 4: Simplify right side
    536,206.66x = 229,300,157,339.14
  5. Step 5: Solve for x
    x = 229,300,157,339.14/536,206.66
  6. Step 6: Final answer
    x = 427,633.92

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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.