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Finding the Fourth Proportional to 333,098.82, 459,547.29 and 212,218.47

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Solution

The fourth proportional to 333,098.82, 459,547.29 and 212,218.47 is: 292,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,098.82 : 459,547.29 = 212,218.47 : x
  2. Step 2: Convert to fraction form
    333,098.82/459,547.29 = 212,218.47/x
  3. Step 3: Cross multiply
    333,098.82x = 459,547.29 × 212,218.47
  4. Step 4: Simplify right side
    333,098.82x = 97,524,422,776.45
  5. Step 5: Solve for x
    x = 97,524,422,776.45/333,098.82
  6. Step 6: Final answer
    x = 292,779.25

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1.5x scale

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.