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Finding the Fourth Proportional to 708,006.24, 976,602.24 and 421,312.32

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Solution

The fourth proportional to 708,006.24, 976,602.24 and 421,312.32 is: 581,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,006.24 : 976,602.24 = 421,312.32 : x
  2. Step 2: Convert to fraction form
    708,006.24/976,602.24 = 421,312.32/x
  3. Step 3: Cross multiply
    708,006.24x = 976,602.24 × 421,312.32
  4. Step 4: Simplify right side
    708,006.24x = 411,454,555,451.60
  5. Step 5: Solve for x
    x = 411,454,555,451.60/708,006.24
  6. Step 6: Final answer
    x = 581,145.38

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1.5x scale

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.