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Finding the Fourth Proportional to 362,547.04, 500,278.80 and 211,732

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Solution

The fourth proportional to 362,547.04, 500,278.80 and 211,732 is: 292,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,547.04 : 500,278.80 = 211,732 : x
  2. Step 2: Convert to fraction form
    362,547.04/500,278.80 = 211,732/x
  3. Step 3: Cross multiply
    362,547.04x = 500,278.80 × 211,732
  4. Step 4: Simplify right side
    362,547.04x = 105,925,030,881.60
  5. Step 5: Solve for x
    x = 105,925,030,881.60/362,547.04
  6. Step 6: Final answer
    x = 292,169.07

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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.