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Finding the Fourth Proportional to 509,054.00, 702,475.27 and 282,714.08

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Solution

The fourth proportional to 509,054.00, 702,475.27 and 282,714.08 is: 390,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,054.00 : 702,475.27 = 282,714.08 : x
  2. Step 2: Convert to fraction form
    509,054.00/702,475.27 = 282,714.08/x
  3. Step 3: Cross multiply
    509,054.00x = 702,475.27 × 282,714.08
  4. Step 4: Simplify right side
    509,054.00x = 198,599,645,461.64
  5. Step 5: Solve for x
    x = 198,599,645,461.64/509,054.00
  6. Step 6: Final answer
    x = 390,134.74

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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.