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Finding the Fourth Proportional to 463,000.30, 697,970.72 and 432,137.98

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Solution

The fourth proportional to 463,000.30, 697,970.72 and 432,137.98 is: 651,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,000.30 : 697,970.72 = 432,137.98 : x
  2. Step 2: Convert to fraction form
    463,000.30/697,970.72 = 432,137.98/x
  3. Step 3: Cross multiply
    463,000.30x = 697,970.72 × 432,137.98
  4. Step 4: Simplify right side
    463,000.30x = 301,619,657,039.95
  5. Step 5: Solve for x
    x = 301,619,657,039.95/463,000.30
  6. Step 6: Final answer
    x = 651,445.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.