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Finding the Fourth Proportional to 254,547.60, 381,821.40 and 213,075.60

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Solution

The fourth proportional to 254,547.60, 381,821.40 and 213,075.60 is: 319,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,547.60 : 381,821.40 = 213,075.60 : x
  2. Step 2: Convert to fraction form
    254,547.60/381,821.40 = 213,075.60/x
  3. Step 3: Cross multiply
    254,547.60x = 381,821.40 × 213,075.60
  4. Step 4: Simplify right side
    254,547.60x = 81,356,823,897.84
  5. Step 5: Solve for x
    x = 81,356,823,897.84/254,547.60
  6. Step 6: Final answer
    x = 319,613.40

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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.