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Finding the Fourth Proportional to 556,683.84, 768,223.74 and 302,035.02

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Solution

The fourth proportional to 556,683.84, 768,223.74 and 302,035.02 is: 416,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,683.84 : 768,223.74 = 302,035.02 : x
  2. Step 2: Convert to fraction form
    556,683.84/768,223.74 = 302,035.02/x
  3. Step 3: Cross multiply
    556,683.84x = 768,223.74 × 302,035.02
  4. Step 4: Simplify right side
    556,683.84x = 232,030,472,675.38
  5. Step 5: Solve for x
    x = 232,030,472,675.38/556,683.84
  6. Step 6: Final answer
    x = 416,808.35

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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.