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Finding the Fourth Proportional to 416,953.70, 575,678.56 and 264,127.51

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Solution

The fourth proportional to 416,953.70, 575,678.56 and 264,127.51 is: 364,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,953.70 : 575,678.56 = 264,127.51 : x
  2. Step 2: Convert to fraction form
    416,953.70/575,678.56 = 264,127.51/x
  3. Step 3: Cross multiply
    416,953.70x = 575,678.56 × 264,127.51
  4. Step 4: Simplify right side
    416,953.70x = 152,052,544,613.19
  5. Step 5: Solve for x
    x = 152,052,544,613.19/416,953.70
  6. Step 6: Final answer
    x = 364,674.89

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1.5x scale

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.