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Finding the Fourth Proportional to 651,470.40, 975,304.80 and 464,846.40

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Solution

The fourth proportional to 651,470.40, 975,304.80 and 464,846.40 is: 695,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,470.40 : 975,304.80 = 464,846.40 : x
  2. Step 2: Convert to fraction form
    651,470.40/975,304.80 = 464,846.40/x
  3. Step 3: Cross multiply
    651,470.40x = 975,304.80 × 464,846.40
  4. Step 4: Simplify right side
    651,470.40x = 453,366,925,182.72
  5. Step 5: Solve for x
    x = 453,366,925,182.72/651,470.40
  6. Step 6: Final answer
    x = 695,913.31

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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.