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Finding the Fourth Proportional to 470,956.30, 706,335.63 and 155,339.26

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Solution

The fourth proportional to 470,956.30, 706,335.63 and 155,339.26 is: 232,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,956.30 : 706,335.63 = 155,339.26 : x
  2. Step 2: Convert to fraction form
    470,956.30/706,335.63 = 155,339.26/x
  3. Step 3: Cross multiply
    470,956.30x = 706,335.63 × 155,339.26
  4. Step 4: Simplify right side
    470,956.30x = 109,721,654,075.83
  5. Step 5: Solve for x
    x = 109,721,654,075.83/470,956.30
  6. Step 6: Final answer
    x = 232,976.30

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Why These Related Problems?

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