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Finding the Fourth Proportional to 470,655.12, 706,070.16 and 155,134.32

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Solution

The fourth proportional to 470,655.12, 706,070.16 and 155,134.32 is: 232,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,655.12 : 706,070.16 = 155,134.32 : x
  2. Step 2: Convert to fraction form
    470,655.12/706,070.16 = 155,134.32/x
  3. Step 3: Cross multiply
    470,655.12x = 706,070.16 × 155,134.32
  4. Step 4: Simplify right side
    470,655.12x = 109,535,714,143.89
  5. Step 5: Solve for x
    x = 109,535,714,143.89/470,655.12
  6. Step 6: Final answer
    x = 232,730.31

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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.