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Finding the Fourth Proportional to 779,012, 1,075,036.56 and 421,316

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Solution

The fourth proportional to 779,012, 1,075,036.56 and 421,316 is: 581,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,012 : 1,075,036.56 = 421,316 : x
  2. Step 2: Convert to fraction form
    779,012/1,075,036.56 = 421,316/x
  3. Step 3: Cross multiply
    779,012x = 1,075,036.56 × 421,316
  4. Step 4: Simplify right side
    779,012x = 452,930,103,312.96
  5. Step 5: Solve for x
    x = 452,930,103,312.96/779,012
  6. Step 6: Final answer
    x = 581,416.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.