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Finding the Fourth Proportional to 565,705.64, 849,116.10 and 415,524.32

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Solution

The fourth proportional to 565,705.64, 849,116.10 and 415,524.32 is: 623,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,705.64 : 849,116.10 = 415,524.32 : x
  2. Step 2: Convert to fraction form
    565,705.64/849,116.10 = 415,524.32/x
  3. Step 3: Cross multiply
    565,705.64x = 849,116.10 × 415,524.32
  4. Step 4: Simplify right side
    565,705.64x = 352,828,390,053.55
  5. Step 5: Solve for x
    x = 352,828,390,053.55/565,705.64
  6. Step 6: Final answer
    x = 623,696.08

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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.