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Finding the Fourth Proportional to 477,530.16, 716,048.74 and 140,527.06

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Solution

The fourth proportional to 477,530.16, 716,048.74 and 140,527.06 is: 210,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,530.16 : 716,048.74 = 140,527.06 : x
  2. Step 2: Convert to fraction form
    477,530.16/716,048.74 = 140,527.06/x
  3. Step 3: Cross multiply
    477,530.16x = 716,048.74 × 140,527.06
  4. Step 4: Simplify right side
    477,530.16x = 100,624,224,248.90
  5. Step 5: Solve for x
    x = 100,624,224,248.90/477,530.16
  6. Step 6: Final answer
    x = 210,718.05

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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.