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Finding the Fourth Proportional to 512,809.58, 707,677.19 and 286,455.08

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Solution

The fourth proportional to 512,809.58, 707,677.19 and 286,455.08 is: 395,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,809.58 : 707,677.19 = 286,455.08 : x
  2. Step 2: Convert to fraction form
    512,809.58/707,677.19 = 286,455.08/x
  3. Step 3: Cross multiply
    512,809.58x = 707,677.19 × 286,455.08
  4. Step 4: Simplify right side
    512,809.58x = 202,717,726,075.63
  5. Step 5: Solve for x
    x = 202,717,726,075.63/512,809.58
  6. Step 6: Final answer
    x = 395,307.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.