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Finding the Fourth Proportional to 553,712.70, 830,050.65 and 433,703.10

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Solution

The fourth proportional to 553,712.70, 830,050.65 and 433,703.10 is: 650,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,712.70 : 830,050.65 = 433,703.10 : x
  2. Step 2: Convert to fraction form
    553,712.70/830,050.65 = 433,703.10/x
  3. Step 3: Cross multiply
    553,712.70x = 830,050.65 × 433,703.10
  4. Step 4: Simplify right side
    553,712.70x = 359,995,540,062.02
  5. Step 5: Solve for x
    x = 359,995,540,062.02/553,712.70
  6. Step 6: Final answer
    x = 650,148.61

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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.