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Finding the Fourth Proportional to 411,547.19, 616,869.18 and 211,878.20

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Solution

The fourth proportional to 411,547.19, 616,869.18 and 211,878.20 is: 317,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,547.19 : 616,869.18 = 211,878.20 : x
  2. Step 2: Convert to fraction form
    411,547.19/616,869.18 = 211,878.20/x
  3. Step 3: Cross multiply
    411,547.19x = 616,869.18 × 211,878.20
  4. Step 4: Simplify right side
    411,547.19x = 130,701,128,409.53
  5. Step 5: Solve for x
    x = 130,701,128,409.53/411,547.19
  6. Step 6: Final answer
    x = 317,584.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.