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Finding the Fourth Proportional to 477,210.63, 714,258.32 and 350,817.42

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Solution

The fourth proportional to 477,210.63, 714,258.32 and 350,817.42 is: 525,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,210.63 : 714,258.32 = 350,817.42 : x
  2. Step 2: Convert to fraction form
    477,210.63/714,258.32 = 350,817.42/x
  3. Step 3: Cross multiply
    477,210.63x = 714,258.32 × 350,817.42
  4. Step 4: Simplify right side
    477,210.63x = 250,574,259,281.85
  5. Step 5: Solve for x
    x = 250,574,259,281.85/477,210.63
  6. Step 6: Final answer
    x = 525,081.05

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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.