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Finding the Fourth Proportional to 470,897.51, 649,820.63 and 256,037.74

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Solution

The fourth proportional to 470,897.51, 649,820.63 and 256,037.74 is: 353,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.51 : 649,820.63 = 256,037.74 : x
  2. Step 2: Convert to fraction form
    470,897.51/649,820.63 = 256,037.74/x
  3. Step 3: Cross multiply
    470,897.51x = 649,820.63 × 256,037.74
  4. Step 4: Simplify right side
    470,897.51x = 166,378,604,526.12
  5. Step 5: Solve for x
    x = 166,378,604,526.12/470,897.51
  6. Step 6: Final answer
    x = 353,322.33

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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.