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Finding the Fourth Proportional to 565,714.86, 780,714.53 and 350,924.12

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Solution

The fourth proportional to 565,714.86, 780,714.53 and 350,924.12 is: 484,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,714.86 : 780,714.53 = 350,924.12 : x
  2. Step 2: Convert to fraction form
    565,714.86/780,714.53 = 350,924.12/x
  3. Step 3: Cross multiply
    565,714.86x = 780,714.53 × 350,924.12
  4. Step 4: Simplify right side
    565,714.86x = 273,971,559,411.46
  5. Step 5: Solve for x
    x = 273,971,559,411.46/565,714.86
  6. Step 6: Final answer
    x = 484,292.67

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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.