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Finding the Fourth Proportional to 706,095.40, 974,417.46 and 383,805.40

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Solution

The fourth proportional to 706,095.40, 974,417.46 and 383,805.40 is: 529,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,095.40 : 974,417.46 = 383,805.40 : x
  2. Step 2: Convert to fraction form
    706,095.40/974,417.46 = 383,805.40/x
  3. Step 3: Cross multiply
    706,095.40x = 974,417.46 × 383,805.40
  4. Step 4: Simplify right side
    706,095.40x = 373,986,683,002.28
  5. Step 5: Solve for x
    x = 373,986,683,002.28/706,095.40
  6. Step 6: Final answer
    x = 529,654.61

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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.