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Finding the Fourth Proportional to 316,015.65, 474,070.74 and 116,320.83

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Solution

The fourth proportional to 316,015.65, 474,070.74 and 116,320.83 is: 174,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,015.65 : 474,070.74 = 116,320.83 : x
  2. Step 2: Convert to fraction form
    316,015.65/474,070.74 = 116,320.83/x
  3. Step 3: Cross multiply
    316,015.65x = 474,070.74 × 116,320.83
  4. Step 4: Simplify right side
    316,015.65x = 55,144,301,955.51
  5. Step 5: Solve for x
    x = 55,144,301,955.51/316,015.65
  6. Step 6: Final answer
    x = 174,498.64

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1.5x scale

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.