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Finding the Fourth Proportional to 562,038.27, 775,704.65 and 417,802.11

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Solution

The fourth proportional to 562,038.27, 775,704.65 and 417,802.11 is: 576,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,038.27 : 775,704.65 = 417,802.11 : x
  2. Step 2: Convert to fraction form
    562,038.27/775,704.65 = 417,802.11/x
  3. Step 3: Cross multiply
    562,038.27x = 775,704.65 × 417,802.11
  4. Step 4: Simplify right side
    562,038.27x = 324,091,039,506.81
  5. Step 5: Solve for x
    x = 324,091,039,506.81/562,038.27
  6. Step 6: Final answer
    x = 576,635.18

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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.