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Finding the Fourth Proportional to 470,570.76, 649,386.14 and 255,711.48

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Solution

The fourth proportional to 470,570.76, 649,386.14 and 255,711.48 is: 352,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,570.76 : 649,386.14 = 255,711.48 : x
  2. Step 2: Convert to fraction form
    470,570.76/649,386.14 = 255,711.48/x
  3. Step 3: Cross multiply
    470,570.76x = 649,386.14 × 255,711.48
  4. Step 4: Simplify right side
    470,570.76x = 166,055,490,950.89
  5. Step 5: Solve for x
    x = 166,055,490,950.89/470,570.76
  6. Step 6: Final answer
    x = 352,881.02

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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.