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Finding the Fourth Proportional to 602,368.32, 902,964.96 and 286,740.48

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Solution

The fourth proportional to 602,368.32, 902,964.96 and 286,740.48 is: 429,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,368.32 : 902,964.96 = 286,740.48 : x
  2. Step 2: Convert to fraction form
    602,368.32/902,964.96 = 286,740.48/x
  3. Step 3: Cross multiply
    602,368.32x = 902,964.96 × 286,740.48
  4. Step 4: Simplify right side
    602,368.32x = 258,916,606,053.58
  5. Step 5: Solve for x
    x = 258,916,606,053.58/602,368.32
  6. Step 6: Final answer
    x = 429,831.05

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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.